A vote of no confidence in the HoC is constitutionally a signal for the PM to resign, but it's just a custom (which some PMs, notably Pitt, have ignored).
The PM is appointed by the Sovereign, and actually doesn't need to be an MP. While there's doubt over whether a Sovereign would appoint someone who isn't, it would be constitionally simple to shuffle them off to a safe seat. So no, it's not simple to get rid of a bad PM at all.
The PM is appointed by the Sovereign, and actually doesn't need to be an MP. While there's doubt over whether a Sovereign would appoint someone who isn't, it would be constitionally simple to shuffle them off to a safe seat. So no, it's not simple to get rid of a bad PM at all.