Name This Phobia: Fear of Touching Animals

What is the correct term for a person with a fear of touching animals? The closest I’ve seen is doraphobia, but that’s defined as a fear of touching animal fur or skin. Presumably, that means that someone who is doraphobic would be afraid of touching a mink coat. What about someone who simply doesn’t want to touch an animal—not because it has skin or fur or scales or feathers but just because it’s an animal?

From here: http://www.islandnet.com/~egbird/dict/a.htm

Couldn’t find anything specific to touching animals in general.

How about tactizoophobia?