Looks like a Rhododendron. Sorry, don't grow them so don't know much, but try google.

Also looks dead...

Looks pretty dire. What is was is academic if it's as dead as it looks. Stick it in the shade somewhere and give it a final three or four weeks to decide if it's dead or alive. It looks as though there are some buds at the ends of the stems, but they could be all dried up and useless. I wouldn't cut it back unless it shows some signs of life then you could assess which bits are dead and cut them off.

I think this was Choisya, ..... but if it WAS ..........., things don't look good.

Thanks for your comments, fingers crossed it makes it! Unlikely though!!!

I would agree with Vincent, this is a Choisya 'Aztec Pearl' and most definitely not a Rhododendron. They are not fully hardy and, like many other evergreen shrubs, have been badly effected by the extremes of the last winter.

It's possible that it may regrow, and it's definitely worth waiting another few months to see what, if anything, happens, but I wouldn't be too hopeful.

Ilex - Thanks very much and looking at some google images I would say it is 99% a Choisya Aztec Pearl. Can these shrubs get to big for pot and be affected or do they just grow to pot size?

Steve - 'Aztec Pearl' is a fairly small shrub, even when planted in the ground, which makes them reasonably good subjects to grow in a pot, but even so they will eventually outgrow all but the largest containers.

Of course when grown in a pot they also need a lot more attention in terms of watering/feeding and protection from the weather.