It does look a bit messy to me but might be nothing. I would keep an eye on it, watch for sneezing/coughing excessive cleaning of the nose, or if there is off-white slimy discharge then get worried. A wet nose can be caused by over exertion or when they are over heated I believe.
There is a bacteria known as Pasteurella multocida its a gram negative bacteria of which there are several strains. Some strains will reside in the nasal tract of rabbits but do not cause any problems until the bunny is stressed or until the bunny’s immune system is compromised in some way.
A couple weeks ago Fiona became very stressed after I had changed her pen around and the next day she was sneezing and had the discharge coming out of her nose, so I made a vet appointment for the fallowing day but the next day all her symptoms were gone so I just monitored her and she hasn't had any problems sense.
I hope this helps, oh and is your bun a rex? I love his colors he is so cute and looks so soft.❤