What is the smallest cell phone with a qwerty keyboard?

It really depends what you mean by a UK phone. There are lots of Korean phones that will work in the UK (www.chinavasion.com) which are really high quality and pretty cheap compared to ours. But if you mean phones that are popular in the UK and you would see in carphone warehouse and stuff like that then I think it would be the Samsung E530HxWxD: 83x43x26mm

Hope that helps