Here's the opinion, which was written by Judge Grant and joined by Judge Lagoa. Judge Martin dissented. (Judge Rosenberg was the district judge.)
The Sun-Sentinel covers it here:
A federal appeals court struck down Boca Raton’s ban on conversion therapy for gay adolescents struggling to come to terms with their sexuality, calling the ban an infringement on the First Amendment rights of the teens and the counselors who try to treat them.
Licensed family therapists Robert Otto and Judy Hamilton sued the city for the right to talk to their juvenile clients about conversion if the clients had “unwanted” attraction to members of the same gender or “confusion” about their gender identity.
The city’s ordinance prohibited conversion therapy as harmful to the health and emotional development of lesbian, gay, bisexual, transgender and other youth. A district court upheld the law, but Otto and Hamilton appealed, backed by religious-liberty advocates at Liberty Counsel.
A three-judge panel at the Eleventh Circuit Court of Appeals in Atlanta overturned the earlier decision by a 2-1 vote. “We understand and appreciate that the therapy is highly controversial,” wrote Judge Britt Grant. “But the First Amendment has no carveout for controversial speech. We hold that the challenged ordinances violate the First Amendment because they are content-based regulations of speech that cannot survive strict scrutiny.”
Luckily Rudy Giuliani wasn't arguing the case as he could not answer questions about strict scrutiny last week.