Not sure if this is the right venue for this or not, but I just want some advice on something.

I work at a movie theater and I've had a crush on one of my managers for a long time. I never asked her out though because floor staff are not supposed to date managers. However, she just stepped down from being a manager and is now a floor staff, like me. When I found this out, I got really excited and I decided that I would finally ask her out. However, there are some significant complications that I am now realizing, and I'm wondering if it's the right thing to do. I looked over her social media, and there are indications that she is likely dating someone, but I'm not 100% certain. I also am planning to move to another state at the beginning of July, so that limits the chance of any sort of real relationship.

I am deeply ashamed to admit this, even to anonymous internet strangers, but I am 23 yrs old and I have absolutely zero experience with girls. And I really mean zero. I've been on one date my entire life, but other than that, I have never dated, never had a girlfriend, never kissed a girl, never went to prom, etc. I'm not like a really strange person or anything. I get along really well with everyone. I'm just really shy with girls and idk, it just never happened for me. Anyway, my point is that I am so desperate for some sort of romantic connection with a girl. And I don't often find girls that I am actually interested in, so that's why I'm having such a hard time letting go of this girl. Should I just ask her in order to make myself feel like I didn't miss another opportunity, or would it be best if I just gave up?

Also, I was going to ask her out the other day at work. Then I overheard her talking with someone and it sounded like she was maybe talking about a boyfriend and I became discouraged. I even walked out the building with her at the end of the night, but I couldn't bring myself to ask. Now, I won't see her until this coming weekend and who knows if I will have any alone time to ask her. So I'm also wondering, if I do ask her, is it ok to do it over facebook? I know you're supposed to ask these things in person, but I'm just so tired of waiting. I feel like my whole life has been waiting for the right opportunities and then they never come or if they do, I don't take advantage of them. And I know it's not good to be this desperate for a relationship, but I just can't help it. I'm so so tired of waiting.

Sorry for the rant.