Pink mushroom

We came across this ominous looking fungus while out walking in Rineen Woods today. I think its Bloody Brittlegill (great name !), Russula sanguinea, but please correct me if I'm wrong.

It's been another lovely day, hot and bright. This afternoon we just sat out in it.
But there was a nip in the air first thing this morning, and I noticed a tinge of tawniness to the treetops down at the woods today....