Yes, my DL has my married name. In fact, both the ticket and my DL have my maiden name as my middle name. But I have always showed my DL for domestic only and the passport for international. I know that TSA has posted what form of ID's they accept, but are we certain that I can use my DL and not passport at the TSA security check for an international flight?
I'm not worried about customs or immigration, because from what I recall, they are only interested in the passport and the custom form you fill out.
Of course, my husband thinks I am freaking out over nothing..."If the airlines says just to bring your marriage certificate than you will be fine." But I have flown enough to know that sometimes people at the airport can either be inconsistent or just plain grouchy. LOL...