Name Confusion

A lot of women travel with their Marriage cert. stuck in there passport, when they need to travel under their married name.   I'm going to use my maiden name for travel purposes though all of my other US documents now have my married name.  As Victoria said it won't make a difference.
 One nice thing though, my FLR expires just after my passport does so I'll be able to have my passport and ILR in my married name

I still haven't got around to changing my name on my passport. I book travel in my maiden name just for convenience (though that's started to be a hassle with frequent flyer miles so I'm going to change it soon). I've started 2 new jobs since marrying and both times my employer was perfectly happy to see my passport and marriage certificate....