Is it wrong to indulge romantic infatuation?

I am infatuated with a young woman for whom I am not a suitable match, including because I am 30 and she is 16. It is strictly a fantasy; I no effort to pursue or to make my feelings known to her and have no intention to ever do so. However, in private, I am deeply in love with her and practically worship her like a celebrity and collect all her pictures. (I refrain from masturbating to her because doing so makes me feel guilty.) Due to deficiencies in my life that I consider unfixable, I have low self-esteem and have given up on dating for the foreseeable future, if not indefinitely. Do you think my behavior is creepy, immoral, or bad for my own well being?