In English, when gender is immaterial the first-person singular pronouns are he/him/his.
If you prefer he/she, him/her, and his/hers, that's fine.
But one person ought not be referred to as they.
Many people do so, but THEY are wrong.
MacMacMac doesn't use the incorrect construction, and HE is right.
Mary does it properly, so SHE is right.
Do you know someone who uses the proper words? If so, HE is right.
Or HE/SHE is right. That's wordy perhaps. But it's correct.
It's all quite simple. But I guess the hypersensitive cannot stomach it. 🙂
Notice, though, that many European languages assign a gender to EVERY noun. And some (most?) require an article in front of every noun, so the article is likewise gendered. So why don't we hear about gender sensitivity from France, Spain, Italy? Perhaps it's because they know how to speak and write properly in their own language.