From a thread on a local message board where someone had one walk in their neighbors house:
http://www.bing.com/images/search?q=silky+anteater&qpvt=silky+anteater&FORM=IGRE
ladies and gentleman I give you the Silky Anteater!
I like how one of the first replies in that message board was, as an answer to “what animal is this?”, “Dinner”. 
I was more amused that their response to a wild animal walking into the house was to grab it with bare hands!
My counter-nomination: the momonga or Japanese dwarf flying squirrel.
Rabies free zone, people are very lax! But I don’t know if I could resist either.
Wow, even their animals look like anime.
Exactly!
And even in a rabies-free area, I’d still be worried about being bitten - it still hurts, after all. That is awfully cute, though. If it wasn’t afraid about people I suspect I might not be able to resist petting the critter.
It would be very hard to get bitten by a silky anteater. 
Or any anteater, after all.
OK, scratched. 
They do have claws.
True, but then look at its claws.
Yup, scratched is possible.
Also, there is bat-transmitted rabies, Trinidad is not 100% rabies free.
Here they’re called tapacara, literally “cover your face,” because when threatened they raise their razor-sharp claws in front of their face.
In most photos they’re squinting against the light, but when they have their eyes fully open they’re even cuter.
One had a bit part in the Werner Herzog movie Aguirre, the Wrath of God.
Since threads like this always devolve into people trying to out cute-animaling one another anyway (not that that’s a bad thing necessarily), here’s the pygmy jerboa.
Oh, and the desert rainfrog. This one must be watched with sound, as the cuteness is in what I believe is its threat response…
It’s a head with legs. 
And its cousin, the Long Eared Jerboa
Ears with legs
Came for axolotl, but leaving pleased.
I admit, the silky anteater is pretty cute, but the momonga and the desert rain frog are flat-out irrestible. And irrestible is not a word I would usually apply to frogs.
Personally, I like the tarsier.
My cats found that noise very interesting…
Awe look at this little cutie, the Quokka!
Fennec.