There are a lot of reasons why a particular writer might not get hired to work on a staff: lack of talent, inability to write to specifications, combativeness, slowness, and offensive hygiene. In no rational world does the sex of the writer deserve to be on that list.
TV writing (and web writing) is the best job ever. I feel lucky every day. I learn every day. And they pay for lunch every day. Score. Hang around and I'll tell you what I know.