No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
Do you use your married name? Have you changed your social security to reflect your married name? Your driver's license?
If you intend to use your married name going forward, then you should change your name with each of your credit cards. It seems as if it's creating confusion now, and credit is tough enough these days...no need to add a layer of identity confusion.
TU can't "fix the mess" of your maiden name reporting. Your creditors will continue to report under that name if that is still how you are receiving credit from them. It has to be changed with each individual creditor.
I know...it's a pain. But life will be easier when you get it done.