The term prostitute actually means to put (oneself or one's talents) to an unworthy or corrupt use for personal or financial gain. Thank about that, and how many people prostitute themselves by working in jobs they do not enjoy purely for financial gain. So, it's not just applicable to sex work.
I think there's something very honest about sex work. However, given society's attitude towards it, very few people know I do it. And to be frank, it's none of their business anyway.
I have never felt strange accepting money for my time and sexual favours. In fact, it felt completely natural even from the first time.
Things always need time to settle, including this. Keep a diary so you can reflect on things, and that way, you can see how/if your feelings change).