There are as many ways to write gender-neutrally as there are stars in the sky. The vast majority of sentences on SE sites (even non technical sites like The Workplace or Interpersonal Skills) are already gender neutral. These first three sentences of this answer, for example, don't refer to any other person and so are naturally gender neutral.
But sometimes you find yourself referring to a poster or a person that a poster mentioned:
Did the architect tell you why he wants it that way?
A little rearranging makes the pronoun, and the assumption that architects are male, disappear:
Do you know why the architect wants it that way?
Other times, you're using pronouns because it would otherwise be too repetitive:
You should ask your boss for a meeting so you can ask him why he has changed the policy and how he expects you to deal with this contradiction.
The first "him" can just completely disappear … "ask why" instead of "ask him why." For the next two, you can switch to passive tense:
You should ask your boss for a meeting so you can ask why the policy changed and how you are expected to deal with this contradiction.
I do this all the time on The Workplace, when I realize I don't know the gender of the person's manager, for example.
Finally, sometimes you have no choice, and then "they" is a well accepted choice:
Oh no! Someone has left their phone here!
Wow, is there a number or something on the lock screen so we can call them?
No. We'll just have to keep it here at the counter.
Yeah. I hope they come back for it soon.
Nobody finds this exchange non grammatical, because the subject is an unknown person. Literally this has been correct since before Shakespeare. So "ask your boss if they can elaborate" is also a gender neutral way to advise a poster on the Workplace.
Drifting for a moment from being gender-neutral, some people do find it weirder to say, read, or hear:
Taylor told me they were really upset by the way you talked to them.
If you are happy to write that with "she" when it's Susan who's upset, or "he" when Mike is upset, but you feel a need to reword this one, then you're not accepting Taylor's gender. It would be great to be able to learn how to cope with that, but that has nothing to do with normally writing in a gender neutral way.