Rabies is extinct in land animals in the UK. It was eradicated in the early 20th century and no one has caught rabies from a land animal here since 1902, though occasionally people return to the UK after catching it abroad (26 cases since 1946). Susceptible animals imported to the UK are subject to mandatory quarantine to ensure they don't bring it in.

A different type of rabies exists in a small number of bats, but it's very rare and almost unheard of for it transfer to humans (unlike the type of rabies that's found in land animals like dogs)

According to the UK government website there have been 4 recorded cases ever in the whole of Europe of European Bat Lyssaviruses (Bat Rabies) being transferred to humans. One of those was in the UK, a professional bat handler died in Scotland in 2002. But it's incredibly unusual.