I think it is more likely your wife may get in a situation with immigration officers, not TSA officers. These are two separate department and TSA officers do security screening and boarding pass check at the entrance of security.

TSA ID check and boarding pass check is done manually by a person so they understand maiden name situation.

However, for immigration passport control today is done using automatic kiosk and difference between the name on the passport and a name of an airline passenger list can trigger your wife to go to long slow line to see an officer in a booth. My understanding is that immigration at homeland security gets name of passengers from an airline, hence that kiosk recognize my name from my passport and comes up with my arrival flight information on own without asking me.