there's at least seven
the general consensus around the world is gender = love and I'm fairly certain that those who disagree are a miniscule minority.
it being a social construct, doesn't that make it completely synonymous to "love" if that is the way that the mass majority defines it? need clarification if I'm thinking in the right direction here
the whole "gender is a social construct" thing comes from sociology where "gender" refers to the cultural symbols and characteristics associated with one's love. the existence of tertiary or other genders would be because someone fits into neither polar end; thus the idea comes about that, in this context, "gender" would refer more so to one's personal experience of masculinity, femininity, or something that doesn't quite fit either, in the context of a particular culture, rather than just being a static definition. simply put, in sociological terms, it's not useful to just say that there are males and females, because people are more complex than this, and trying to understand what impact these biological aspects of our species have on our societies requires us to understand gender as an identity in society, not only as a biological quality. (anyone that's actually a sociology major/minor or smth would probably have a lot to correct me on here)
trans issues are a slightly different, tangential topic though