Before her press conference next Monday, Rep. Enid Greene Waldholtz's problems are personal - at least that's the official line of Utah's Republican Party. After the conference, her problems will be political, and Utah GOP leaders will be involved in the outcome.

So says Stan Parrish, state Republican Party chairman."The easy part for us was what we did prior to Dec. 11," Parrish said Monday. That is, taking party votes to support Waldholtz. "The tough part (for Enid and party leaders) comes after Dec. 11. We'll take (decisions) easy" over the next several weeks.

Waldholtz said Monday that she will hold her much-awaited press conference at 10 a.m. Monday in the Doubletree Hotel in downtown Salt Lake City. (See box.)

Both the Utah Republican Party's executive committee and central committee have fully endorsed Waldholtz, pending how she publicly explains herself and her actions at the press conference.

Parrish says he really doesn't know what the party will officially do after the conference. Will the executive committee take another vote on Waldholtz? Will the central committee take another vote of confidence? "We don't know right now," said Parrish. The state party may just remain silent on Enid's re-election, at least officially.

Sources within her Washington, D.C., camp guess that Waldholtz won't say Monday whether she'll seek re-election in 1996. They believe she'll say that she'll assess her personal and political concerns for several weeks before making that decision.

For the time being, Parrish said, Waldholtz is still the strongest candidate for Republicans in the 2nd District in 1996. "That's because she's the incumbent - and the incumbent has to be considered the strongest candidate unless someone else (stronger) comes along."

And behind the scenes, Republican leaders are definitely thinking about who else might come along and worrying what to do if Waldholtz resigns.

Parrish confirmed Monday a story in the Deseret News that GOP leaders were considering a bill for the 1996 Legislature that would detail how a special election for the U.S. House would be held in the state. Now, state law is silent on how and when such a special election would be called. The U.S. Constitution says a state's governor must call a special election for a vacant U.S. House seat, but that's all. Waldholtz has repeatedly said she won't resign - and no vacant seat, no special election. But leaders are still worried.

"I spoke with (Utah House) Speaker (Mel) Brown about what we should do, some alternatives" in special election laws, said Parrish.

Two GOP legislators told the newspaper that party leaders suggested that a law could be passed early in the 1996 Legislature that said if a U.S. House seat became vacant, that any special election called by the governor be the same date as the regular, November general election. Thus, in reality there would be no special election, all party candidates would just go through the regular nomination and election process in 1996.

Brown, R-Midvale, said a change should be made in Utah law regarding special elections, but that it shouldn't be done "in the crisis" of the Waldholtz problems. "That would just lead to political bashing," said the speaker.

If Waldholtz doesn't quietly, or quickly, go into the night and say she's not running again next year, what do Republicans do?

A leading Utah Republican who has been involved in some of the state's biggest campaigns, and doesn't want his name used, gives this scenario:

State party leaders and the GOP congressional delegation won't sit Waldholtz down and tell her she can't run again. That was done with former GOP freshman Rep. David Monson in 1986 with bad results. Monson didn't have near the political problems that Waldholtz does, but he stepped down after only one term anyway because of the pressure. And the Republicans promptly lost the seat to Democrat Wayne Owens.

"We can't stop anyone from running, we can't make anyone run. We're an open party," said Parrish on Monday.

The GOP source said the reason she probably won't be pressured like Monson was is because she's a woman; it's the 1990s, not the 1980s; and GOP leaders - all male - don't want it to look like they're ordering a woman out of politics.

The message can still be sent to Waldholtz, and well sent, the source said. First, leaders could tell friends, associates, political advisers of Waldholtz that she can't win. Various polls would be used to back up that story. (Sources say polling by the party and/or party organizations is already being conducted in the 2nd District).

Second, GOP leaders like Gov. Mike Leavitt, Sens. Orrin Hatch and Bob Bennett, could withhold their endorsement of Waldholtz.

The clincher would be that when a viable GOP contender came calling on Leavitt, Hatch and Bennett, they would quietly support the person and give him or her their fund-raising lists.

Strapped for money, lacking GOP hierarchy support and facing problems in the polls, Waldholtz would see the writing on the wall and withdraw or never officially get in at all.

Waldholtz and her estranged husband, Joe, are under review by a Washington grand jury for possible check kiting, filing false campaign disclosure forms and other possible campaign violations.

Enid Waldholtz has blamed all problems on her husband, Joe, from whom she has filed for divorce. She has blamed him for embezzling millions of dollars from her, her father, Joe's grandmother and Enid's 1994 campaign. The couple put $1.8 million of their "own" money into the campaign, but it now appears that money was either Enid's father's or Joe's grandmother's, and Enid says she and her father knew nothing of the illegal donations.

Joe Waldholtz is due in court on Dec. 15, where federal prosecutors and his attorneys are expected to announce whether they have reached any agreements for Waldholtz's testimony before the grand jury, or whether he will assert his Fifth Amendment rights.