It’s all down to the venue, type of music and type of instrument, if you look at organists most of them play with their back to the audience.
In the final analysis, so long as you engage with your audience between songs there isn’t normally a problem. (Again this will depend on venue)
Unfortunately this is one question where there is more then 1 answer.

Bill
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English Riviera:
Live entertainment, Real Ale, Great Scenery, Great Beaches, why would anyone want to live anywhere else (I�m definitely staying put).