Edit: Sorry, everything I said was wrong. You are very likely infringing on their trademark and you should find a new domain ASAP. Don't transfer ownership to t

Edit: Sorry, everything I said was wrong. You are very likely infringing on their trademark and you should find a new domain ASAP. Don't transfer ownership to them - let them know you're going to change the domain name and set up a redirect and that you will transfer ownership in 6 months (if they pay for it).