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Do you mean Barbados sheep, the ones that shed on their own and do not have to be sheared?
The barn owner where I boarded my horse in Arizona had them to keep the irrigation ditch mowed.
Hers were *very* skittish, they never became anything close to tame. And if one escaped, it was nearly impossible to catch, they are *fast*! The best we could do was herd it back towards the others and it would eventually figure out how to get back through the fence.
Not having to shear them is a big plus, but if you want friendly pet sheep, I don't think these are a good choice.
ETA: did I read correctly that you are only planning on getting one? Maybe if you got a very young one and hand raised it you might have a chance... but in general their brains are not wired for critical thinking and they really need to be in a herd to feel safe.
-Wendy