When she was two years old, that little girl sat on my lap. That is when I swore to God I would rip the f*cking skin off of anyone who f*cking wronged her.
~ Trevor Phillips about Michael De Santa's daughter Tracey.

Villains who are the opposite of what many expect from an antagonistic "boss"; they genuinely care for another being. Whether it be paternal/maternal, romantic, or simply a "matter of principle", these villains will not only treat their minions well, but often go into a rage when their minions are threatened or harmed.

Sometimes, this can be because the minions are relations to the villain, the villain's lovers, friends, or (as mentioned above) the villain genuinely values those who aid them.

This is basically the polar opposite of both the Failure-Intolerant and the infamous "Bad Boss" archetype. However, some (in fact many) villains qualify for both, as they may be protective towards some and failure-intolerant towards others.

A Pure Evil can never qualify for this category as they care about no one but themselves. And even if they show "care" for some characters, they are only using them for their own personal gain and they don't truly care for them. (Lord Voldemort only cares for Nagini because she is one of his horcruxes, otherwise he would be weak and mortal.)