While the pet in question is grayed out (http://beastkeeper.com/pet/547671) the site is telling me she is the only pet skilled enough to make the Amythest Golem. Since we don't know what the stats are for the pet this seems to either be a bug, or an oversight. 

Unfortunatly I can't figure out how to save a screen shot on my mothers computer, but thanks to this bug I know my pet has over 50 intuition. 

EDIT: The pet is still showing but she'll be tamed in about 20 hours, so I'm showing a screenshot now that I'm on another computer

This post is for screenshot purposes

Also found a second pet which is doing the same thing so please bare with me as I multi-post the screenshots

This is a picture of a puma being tamed which is showing up. Link to the puma pet is here http://beastkeeper.com/pet/548882

Now this dragon is showing up, although its for the boat which has no requirement she is still being tamed. http://beastkeeper.com/pet/551345

Sorry again for the multi-post but it seems this glich carries over to quests