As Herman Cain announced a Tuesday afternoon press conference to deny a fourth woman's allegations that he sexually harassed her, the woman, Sharon Bialek, said she stood by her story.

Bialek went public on Monday with celebrity lawyer Gloria Allred and told a packed room of reporters in New York that, 14 years ago, she approached then-CEO Cain for help finding a new job with the National Restaurant Association.

He took her out for dinner in Washington, D.C., Bialek recalled, drove her to the restaurant association's headquarters, and then proceeded to reach up her skirt and pull her head toward his crotch. She said that when she protested, Cain said, You want a job, right?

Cain Reiterates That Allegations Are False

Cain's campaign released a statement before Bialek's press conference had even concluded, saying that there was not an ounce of truth to all these allegations.

But now that there is a name and a face behind the allegations as opposed to a collection of anonymous accusers, political strategists and voters alike are calling on Cain to address the claims more directly.

He deserves a fair chance, but that doesn't mean he gets a pass, Jennifer Horn, a conservative activist from New Hampshire who had previously defended Cain against the allegations, told Fox News on Tuesday. These are not anonymous allegations anymore, unfortunately. He does need to take another step and answer a few more questions.

And he says he will. I'm going to talk about it, Cain said in announcing his press conference, which will be held in Phoenix at 3 p.m. MST l/ 5 p.m. EST. We are taking this head-on.

In-Focus: Cain Press Conference

It remains to be seen whether that press conference will go beyond the flat denials he has already issued, which even his supporters are beginning to agree are insufficient against the new evidence that has emerged.

Some staunch Cain supporters have dismissed Bialek's claims based on her past financial struggles -- she once filed for bankruptcy protection -- and based on the involvement of Allred, a high-profile supporter of Democratic causes.

But Bialek is a Republican and a Tea Party faction supporter to boot, and she and Allred said multiple times at Monday's press conference that they did not intend to sue Cain. In other words, assuming they are speaking honestly, Bialek has nothing to gain politically or financially from going public.

She also noted that it would have been easy for her to sell her story to a news outlet, but that she had no interest in doing so.

I have had bankruptcy, and it was after the death of my mother, to help my father pay for medical bills, and a custody battle, she said, according to The Associated Press. Like millions of other people out there, I was struggling. I could have sold my story, but I didn't.

She added, I'm just doing this because it's the right thing to do. It's not about me. I'm not running for president. I wanted to give him a platform to come clean, to tell the truth.

Hopefully, after Cain holds his press conference Tuesday afternoon, voters will have a better idea of what the truth is.