You'll probably be fine, but I've come across some pretty rigid check-in agents in HK, so be prepared.

I was once almost denied check in because my middle name (which is on my passport) was not on my plane ticket. Eventually, they allowed me to sign a waiver in case I was denied entry by Chinese immigration. Another time, one letter in my middle name was misspelled and the agent had to spend 10 minutes checking with a supervisor that it was still ok (it should be).

Anyway, my advice is to call AA and have them notate your wife's maiden name in the record. I would also carry copies of your wife's birth certificate and marriage certificate.