You sound like a teenage boy to me, but some women have voices that are similar. However, I notice that your esses sound very sibilant, and that is a trait usually associated with women. A lot of trans guys I've met have pronounced esses, which is probably one reason they are read as gay.
It's funny. In the crowd I used to run with, the straight trans men were often read as gay, whereas the gay ones came across as straight (including me). I've speculated that it has to do with the people we used to keep company with. The straight guys were former lesbians and often spent all of their personal lives around women, whereas the gay guys tended to spend most of their time with men.
Anyway, I'm not sure whether the esses were more pronounced because of the equipment you were recording with. And I'm not sure of the remedy if it's your current vocal pattern.
You also have quite a few hesitations, but many people do that when they are recording themselves or leaving a message; they don't feel completely comfortable and have a lot of gaps in their speech. But that type of pattern tends to come across as tentative, and I would be more likely to read it as female rather than as male.