She has a long respawn period. The sad thing is, after you do her Outfoxed quest, you have to search THE WHOLE MAP to see if there's a big fox somewhere. There's 5 possible spots that she can appear. If you don't see her, it means she was killed recently.

The Ginko/Kinloch quests don't have anything to do with the fox spawning - they only serve to trigger the Outfoxed FATE. So if you're seeing Outfoxed, you're doing the right thing. You just have to worry about making sure you find her at the right time.

Make Yanxia your AFK spot, get friends to help. If you're able to at least know when she was last killed, you can estimate when she'll be up again.