A TRACON Controller reported an Air Carrier conducting an RNAV Approach advised them they were not authorized to conduct the approach or the published missed approach so the Controller had to issue vectors below the Minimum Vectoring Altitude.

Narrative

Aircraft X asked for and was given the RNAV (RNP) X approach to Runway XXR on initial contact. Traffic was slow and I was comfortable issuing this since company had shot the same approach approximately 30 minutes earlier. When I attempted to transfer Aircraft X to Tower they replied that they had a company issue and that they were unable to continue on the RNAV-X approach due to a company bulletin that they had just become aware of and were now requesting vectors to the RNAV-Y approach for Runway XXR. I advised them that they were below the MVA and to execute the published missed approach except to maintain 8000. They replied that they were unable to do continue either on the approach or the published missed approach procedure. I verified this by asking 'confirm you are unable to continue with the published missed approach?' They replied in the affirmative. At this point with the aircraft in IMC and below the MVA I suggested a heading on 100 to continue in the downwind and issued a climb to 8000; which; they did. The aircraft climbed above the MVA and then received vectors to the RNAV-Y approach for Runway XXR.I recommend we receive these bulletins from the airlines stating exactly what airlines and equipment types are authorized to fly which approaches. This pilot put himself and me in a bad situation with no alternatives but to provide emergency services. I reported the situation to our ATM (Air Traffic Manager) since there was no OS (Operations Supervisor) in the building.