it is cream and black a little patch of red on the top of its head.No red anywhere else.
Sounds as if you're describing a Lesser Spotted Woodpecker but they are not so common according to this guide ... www.birdguides.com/.../british-woodpecker-photo-id-guide Is your bird one of these?
Depending on what angle you saw the woodpecker from, ie., side on where you couldn't see the under rump (which might have shown a hint of more pinky-red) it could have been a juvenile Great Spotted Woodpecker if it wasn't the "Lesser". which less likely to be seen than the great. Lesser is only the size of a house sparrow so depends how small you mean.