How do you impress a girl who only likes sports and who hardly knows you're alive and whose friends think you're perverted and how do you change this and show her that you care for her dearly?

Yeah, I'll help answer your question.... You might not like the answer how ever. BUT..... if you are a lil perv... then yeah start there and change it !!!! No girl wants a guy like that anyway ... atleast outside of her bedroom!!!! If she's into sports, and you're not, oh well... go to a foot ball game and grin and bare it. Be interested in her for her and quit worry'n what all her lil friends think.