I think you should be able to if you are a private business.
I think this kind of thing was heavily looked into over the whole gay cake stuff.....for which that business went through the ringer because they were targeted by the weirdo lobby.
But if I remember correctly they reason they weren't served wasn't just because the business didn't like them as people.....which appears to be the case here.
But personally while I'm obviously on Robinson's side of the fence I'd also support the concept of a private business deciding upon what patrons it has......whether it's racial, political, sexual, whatever the feck it is.
There will always be other businesses happy for the trade.
But as we know, that isn't the law as it currently stands.....The uniparty Karens make law at the moment and have done so for decades.