If you are looking on the 110 Monk you are posting on, it seems you already completed that quest. I can't tell when or what you may have done with that reward, but it does seem that you already received it for that character.
The pet can be caged, so it might be available on the Auction House. Alternately, you can complete the quest on an alternate character.
Edited by Vrakthris 01/31/2018 10:14 PM