(adjective) Feeling or showing a deep solemn respect

Ive encountered this word when reading (Williams J K.)s‘ “36 hours in Yokohama” in the text it states

 Live jazz shows are regularly staged inside the cozy space, but most nights, customers take turns choosing from the extensive collection of rare vinyl. While waiting your turn, sip a gin and tonic and respect the reverent atmosphere — this is a place for listening, not socializing.(Williams J K.(2019))

The author describes to be reverent so that you can respect the atmosphere that the place is supposed to give. The place is not for socializing, just for listening to the music and minding your own business.