Mrs. Byrne includes "rhytiphobia n. -- a neurotic preoccupation with facial wrinkles."
I checked the term out on OneLook®Dictionaries, and only the Grandiloquent Dictionary entry came up, along with:
"redactophobia - ( ) A fear of editing or of editors"
and 
"regiphobia - ( ) A fear of a king or kings"...
So, I went back to Mrs. Byrne, who provided this on kings:
"fitz n. -- a twelfth-century patronymic for royal bastards" 
...so that raises a question to wrinkle out, if you don't have wrinkle phobias, what would be the patronymics for royal bastards from other centuries? Or: why is a royal bastard a fitz specifically in the 12th century?
Back to my in-depth research on babyroussas,
DubDub