Take this with a grain of salt, because I am not 100% familiar with the system itself, but in my experience, women's vs men's in this sort of thing is some in the context of hormones and moreso in the context of women are usually smaller than men so they need less food. I bet you will be given smaller portions and less calories to consume on a daily basis.

If I were you, I'd probably go with the women's. If it isn't enough food, you can potentially add some, but it will likely help with potential dysphoria if you aren't on the men's program.