It's going to be awkward knowing that that she's letting other men touch her and she's rubbing up on their private parts on a regular basis, I know that it's only part of her job but still. The only thing you really can do is sit down with her and have a serious discussion to see if/how it will work out.
She has to make money some how. I wouldn't expect a guy to except my job position if that's what I did and wouldn't be offended in the slightest If he asked me to find another job. If you aren't comfortable with her line of work and she wasn't willing to change jobs I don't think it would be wrong to leave her over it if you are comfortable with it then go for it
Talk to her about how you feel and ask any questions you may have. It's your decision, nobody else's. But I don't think you should be with her if your not 100% sure. If your uncomfortable now and talking to her doesn't ease your mind, then I highly doubt you will get over it.