I believe the ref is wrong. The player, whilst willingly trying to put the keeper off, did not make strides to block the kick. The keeper cocked up.
The goal should have stood.
Rivals are few and far between. I guess you have the occasional one - Lancashire/Sussex 'The discovery of rain' and long standing ones - The Battle of the Roses.
I saw Surrey as a 'derby' as they used to throw their money at our players. Didn't quite work out for them!
I think a lot depends...