Thanks for all the comments, it really was one of those times when I just happened to have the right camera with the most suitable lens to hand; I'll admit I fired off the first two shots without a card in the camera though
It was shot from an upstairs window, but far enough away that the angle wasn't too steep to get a head on shot. The Sigma is usually in its case under the bench and any previous opportunity has usually passed by the time I've unpacked and got it mounted, and if the subject is still there after that, opening the window usually scares them off!
Thanks to jbimpg on the goshawk ID, I was still trying to determine what it was based on the white eyebrows.
To answer some of the questions:
I think the green cast is reflected from the grass, like Lowell Goudge say.
The victims was one of the particularly well fed pigeons that frequent the garden and was actually about the same size as the hawk.
I'm still waiting to get a decent shot of one of the increasing number of red kites that are around here.