I'm afraid that having a testicle hanging out would be extremely painful for any animal, including a rabbit, even though they seldom show obvious signs of pain. I would strongly advise traveling to see a vet if this is possible; not least because if this is the result of fighting, infection is also extremely likely.
If this is not possible, why is this? In the UK for example there are always vets available to see emergencies. What normally happens in your area when an animal needs emergency care? An open scratch wound to the testicle with no appropriate antibiotics or pain relief may in some cases be grounds for euthanasia, although obviously I do not know your circumstances.