During a recent police visit, we were standing in the living room and I was asked by one of the officers if they could have a look around.  The bedroom door was closed (as it's next to the front door I want a bit of privacy) and I said no.  The officer kept on asking and made comments like 'what is the problem', and I still said no.  Eventually I gave in as I felt they weren't going to leave unless I agreed.

Can they do this?