okay, so I have had to deal with this myself. as much as I hate it, I put Thomas on my resume still, and put a preferred name under it(preferred meaning what I answer to) when I submit the resume, ive noticed that most companies actually don't take the resume and have me fill out their application now, and the application has a few locations to note things like proper name and pronouns(its dependent on the place of employment of course). but I have a place that has called me in and my dad got pissed when we got a letter from them(the company is legit, they just sent a letter for some reason, I did the interview and didn't get the job but its a start) that had my name and not Thomas....that was an interesting argument. but anyway, id say it depends on how accepting the company is.....and how you feel for it personally.
Love,
Lilly Garcia