To Take
To Undertake, To Accept, To Receive
transitive verb, ichidan verb
A person requests something, so you are the one to take it. You're really nice to accept their request. What a nice person you are!
What's another word for "to accept" or "to receive"? How about 受ける? They share a reading!
お前の顔を立てるためだけにこの仕事を請けたんだからな。
I only took this job so that you could save face.