Air Carrier First Officer reported a fume event during cruise and executed a diversion; receiving a TCAS RA during diversion which was handled with no issues.

Narrative

During cruise at FL340 approximately 150 miles east of ZZZ; the Flight Attendants called to report an odor in the main cabin. The smell was described as 'propane or some kind of gas' and was reported by multiple passengers around row 28. After running the QRC; and no known or suspected source of the odor; we decided to execute a divert to ZZZ1. We requested priority handling.During the approach through approximately 10k feet; after a 'descend and maintain 8 thousand' we got an RA with a climb command. I (FO [First Officer] and PF [Pilot Flying]) disengaged all automation and climbed until resolved. The rest of the approach and landing was uneventful; and a heavyweight (167k) landing was accomplished. Paramedics were available at the gate upon arrival to Gate X at ZZZ1. Though we were given vectors after requesting priority handling; it seemed like ATC dropped us out of their crosscheck; as evidenced by the RA. I obviously wasn't on their scope though; and it's possible the RA was caused by an aggressively climbing contact below.Fairly cut and dry divert; minus the RA.