Its safe, the only risk is if you decide to taxidermy something yourself, which may be a risk of disease, and even then its usually fine if your clean and careful

Yes it is safe to have a taxidermy animal.

No, it's all safe buddy.

By safe, I mean will you be at risk for contracting some sort of disease?

I want to buy a taxidermy bat, but I'm hesitant because I don't know if it will cause some sort of illness.