Many years ago, there was a local story about a baby deer that got it's head stuck in the railings of a local primary school. The fire brigade freed it, at which point it bounded off to never feature in news again.
The fact this happened in Birmingham, didn't seem to be a thing at all.
Eventually I learned that - thanks to the canals - there are fucktonnes of wild animals that can sneak into and out of the city. Deer being one of them.
We live near a large park, and deer have been seen there.
That said, you don't really get more wild than people snapping foxes carrying away a snake in Moseley. And we had a red kite that liked landing on our shed for a while.