(NEXSTAR) -- The Supreme Court appeared skeptical of Colorado's law banning conversion therapy, during oral arguments on Tuesday.

Colorado's law prohibits therapists from trying to convince minors to change their sexual orientation or gender identity.

Kaley Chiles, a licensed therapist in Colorado, sued the state, with the support of the Alliance Defending Freedom. Chiles' argument hinged on the first amendment. Her attorneys argued the state law prevented Chiles from speaking freely to children in private therapy sessions.

"It's reaching into the counseling room and censoring counselors," said Kate Anderson, an attorney with ADF.

Justice Elena Kagan, an Obama appointee seemed to question whether the Colorado law violated the First Amendment.

"If a doctor says, 'I know you identify as

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