I was laid off last January, 4 months after going full time. I was able to find a temp job in April that became permanent after 5 weeks. The lessons I learned was, don't out yourself to the HR, etc, until after you are hired; assume that the SSA will send a no match letter if the employer tells them they have you listed as female (it happened to me a couple of weeks ago >.<) and don't assume people will hate you if your past comes to light.
I came out to HR while they were processing me in. My DL has a F on it (NY State will change the DL gender with a doctor's letter but still doesn't have any legal trans protection laws) so that didn't trigger any questions but my brand new SS card did. That gave me the opportunity to come out to the HR person. Talk about stress! She just stopped for a half second, looked me in the eye and said, "OK, no problem!" and continued the in-processing. Talk about relief!! I hardly felt my feet when I walked out that door!
I hope your experience will be the same, or better, Dora. Good luck!
hugs & smiles
Emelye