Oh, really? Do you have any evidence? If I brought a baboon into a supermarket, would that be OK? If I pointed out that my baboon was gay, would it be homophobic to refuse the beast entry?
You're an idiot, allow me to quote the fucking SUMMARY for you:
"A statement given by restaurant owners Hong Hoa Thi To and Anh Hoang Le said one of the waiters had understood Mr. Jolly's partner Chris Lawrence 'to be saying she wanted to bring a gay dog into the restaurant. The staff genuinely believed that Nudge was an ordinary pet dog which had been desexed to become a gay dog,' the statement said. Mr. Jolly and Ms. Lawrence were refused entry to the restaurant -- which displays a 'guide dogs welcome' sign -- even after providing staff with a guide dogs fact card."
They displayed a sign with the text "Guide dogs welcome" and then denied the dog access since they confused it for a gay dog. Yes, it WAS homophobic to deny the dog entry.