I couldn't read the OP's opening post and not respond. I haven't read all seven pages of responses, so if this is a repeat, please forgive me!
I have four children - 18 1/2 dd, 15 ds, 10 dd, and 3 ds.
Starting @ age 13, oldest dd wouldn't let me take her pic. Same thing as OP - a hand tossed up, head hung down so hair covered her face, GLARES (as in "if looks could kill") when I insisted and made her let me take a pic.
She came home for Christmas this year (she lives @ two hours away and attends college there) and she brought her bf. BTW - he proposed Christmas night, so now it's her fiance!!!
(we really like him!)
Anyway - I didn't have to ask. I fully expected the same response - but all I got were big smiles, pics of them hugging, smiling at the camera, etc. GREAT photos.
I don't know what changed. But I am sooooo happy it was just a phase.
Now ds 15..........well, he seems to have ENTERED it this Christmas....<S>
So anyway - there is hope OP! It may just be a teenage phase.