Honey?

We had a honey fungus alert last week, with BH spotting these mushrooms at the base of one of our nut trees. A nut tree which, I might say, has never ever given us any nuts, given grey squirrel action in the summer. Are the mushrooms anything to do with the unsatisfactory way I cut out the fourth shoot, that is to say the second from the left going clockwise? I could not get the pruning saw down low enough and I never got around to cutting the short stump down with my half inch mortice chisel, something I have resorted to in the past. Then it might have healed over rather than rotted.

Turning up the RHS site, I find that honey fungus is a serious pest in this country, doing a lot of damage to the roots, dead wood and live wood of all kinds of shrubs and trees. Nut trees listed at the second level, that is to say among the moderately susceptible. No cure, apart from planting less susceptible varieties and chopping down then digging out those that do get infected.

I find also that honey fungus comes in seven varieties (one to add to my list of things which come in sevens) and spreads both by a healthy root getting close to an infected root and by the fungus sending out its own roots (properly rhizomorphs) to seek out new victims. It is this last which makes the fungus particularly tiresome.

From the pictures given, not sure that the fungus above is the honey fungus. In any event, getting a bit old to be chopping things down, so no action for now. 

PS: old in the sense that one might not live to get much value out of a replacement - with this small tree, rather shaded by a rather bigger oak, having been growing for more than twenty years now. Chopping down not a problem just yet.

Reference 1: https://www.rhs.org.uk/advice/profile?PID=180.