Yes, by all means Go for It!!! Or at least go to lunch sometime (no biggie there, right?) and enjoy being friends. Geez, So many of my friends have large gaps in age & most find that it's not a big deal at all, in fact - it seems easier esp. when the man is the older in a relationship. So what if you both like different music or movies...viva la difference! She'll keep you young.
Lots of young ladies look to and prefer older men. Most of the time, I do...