I'm in the lending business, so I can probably shed a little light on this subject.
Getting the three credit bureau companies (Equifax, Transunion, Experian (used to be TRW)) to change your info isn't difficult at all. Just use a company like
myfico.com or some other credit company or go directly to those three and send them name change info.
The problem is going to be that if you are using the same social security and date of birth, the name will change on the credit bureaus but you will still have your male name listed in the OTHER NAMES section at the end of the credit bureau. I've never seen this be able to be changed by deleting names.
I've done loans for TS people before and seen that on there. I think most lenders are scrupulous enough to follow strict privacy laws concerning that kind of information, but for big purchases like a house, the lender may require what we called a Letter Of Explanation (LOE) if something seems out of the ordinary. In other words, if all of your ID shows one name and the credit report shows another, that might trigger a lender to require a LOE to prevent identity theft.
In the case of TS, I can't imagine that a LOE would be required, and for someone who is deep stealth, that could be a problem, especially on a joint credit application where the partner doesn't know. I've never heard of credit histories being "erased" unless the person is using a different social or DOB.
After 7 - 10 years the OTHER NAMES section will most likely update and remove those other names. If anyone calls one of the three bureaus and gets different information than that, I'd be really interested to know. Keep in mind that with the threat of identity theft all over the place, credit bureau agencies are extremely cautious about altering data, even with sufficient proof. Changing late payments and things like that are not a problem with sufficient proof, but changing PREVIOUS names is not something I've seen before.