Some "Masters" are women, so, yeah.
I'm a guy, and I try to use "she" and "her" when I'm writing and the gender of the subject doesn't matter or is unknown. I like the way it reads.
You could use some other word in place of "the Master" and the pronouns. In fact it works just as well with Mr. Lebowski:
"Therefore the Dude
fulfills the Dude's own obligations
and corrects the Dude's own mistakes
The Dude does what the Dude needs to do
and demands nothing of others."
The Dude abides. You see?
cross-posted from another thread