There is a movement afoot (actually, the "movement" dates back many years, I suspect) to get rid of the awkward "he/she" paired with "his/her" in favor of "he/she" paired with "their."
I've had difficulty getting used the less awkward "she" paired with "their," but I have been trying it of late and no one on this site reprimanded me--at least thus far.
Strict grammarians may be a little inflexible in this regard; loosey-goosey communicators, on the other hand, not so much. I say, "Go for it, user78655."
Oh, and anyone else so inclined, well, they too should go for it!