Yes, it's possible she got it orally and just didn't get an outbreak. It's also possible that she didn't. Unfortunately, there is no way to know in the absence of symptoms orally. It's possible that if she does have it orally, that you could have gotten it from her from oral sex.
Okay, so what is your biggest fear here? Is it fear of the actual virus - will it be painful, will you suffer? Is it the stigma - what will others think, what happens if you and she don't work out and you have to maybe tell others that you have hsv1 (if you do get it from her, which is far from a certainty)? Is it a germ phobia (those are real)?
What do you think would happen if you did get hsv1 from her? Would you be able to live with that and not resent her?
Are you going to panic every time you have sexual activity with her? If so, that's not fair to her. She deserves more than to feel like a walking contagion all the time.
You don't have to answer me, just think about it.
Yes, this mess is all in your head, and I say that with kindness.
First, herpetic whitlow is rare, and painful. You wouldn't get it with intact (no breaks) skin. Second, it wouldn't live on your hands for 5 days (and lord, I am hoping you've washed your hands at least once in 5 days).
No matter which type she has, she is not a walking contagion. You are safer with her than one of the many people who have it and don't know it because she will avoid sex with you at any sign of an outbreak. There are steps you can take to reduce the risk of transmission, like using condoms and/or daily suppression meds, but if you do nothing but avoid sex when she has any symptoms, you'd have a 4-5% chance of getting herpes over the course of a year. If you used condoms OR she uses meds, it's about a 2-3% chance, and if both are used, it's about a 1-2% chance. (The chance of a woman getting pregnant on the pill each year with typical use of the pill -not taking it at the same time every day, etc- is about 9% over the course of a year.)
Ultimately, this is your decision, and you should make an informed one to be fair to her and yourself. You should read the Herpes Handbook, which is free and loaded with the best info out there - https://westoverheights.com/wp-content/uploads/2014/08/Updated-Herpes-Book.pdf
It's okay if you decline to enter into this relationship. We all make choices about relationships every day, but if you do decide to not enter it, all I ask is that you be kind when you leave it. Tell her in person, don't ghost her, and be honest. It will suck for her, but it's kinder to let her know than not, and leave her wondering. There will be people who won't mind that she has herpes that she can date, and there will be people without herpes you can date. Either way, you'll both be okay. :)