Are there only two genders. Physically speaking, you could say yes.
XX is female, XY is male. The X chromosome is not female, as males have one. The Y chromosome is a male chromosome. Females do
not have one. Genetically speaking, there are men, and women who are not men. Even with trisomy mutations, so long as you have
one Y you can be considered male. Ex.XXY, XYY. If you have no Y chromosome, EX. XXX, then you are not male and are

female. But this is just physically speaking. I suppose one could be male by genetic assignment, but be encoded with the software
of the opposite gender. I think homosexuality could be explained by such an assignment. Careful not to call it a mis-assignment. lol