Story highlights Governor says two of his concerns are addressed in the law

Reference to "religious beliefs" changed to "principles"

Supporters say protections are necessary; critics say its discriminatory

(CNN) Tennessee Gov. Bill Haslam on Wednesday signed a bill into law that allows therapists and counselors with "sincerely held principles" to reject gay, lesbian, transgender and other clients.

"Although Senate Bill 1556 has received attention for its perceived focus, my job is to look at the actual substance of the legislation," said Haslam, a Republican in his second term.

In a written statement to the media, he said two of his concerns had been addressed by this most recent version of the bill, which passed the state Senate on April 6. The first requires therapists and counselors to treat people who are an imminent danger to themselves or others. The second mandates the mental health professional arrange a referral to another counselor or therapist.

"The substance of this bill doesn't address a group, issue or belief system," the governor said. "I believe it is reasonable to allow these professionals to determine if and when an individual would be better served by another counselor better suited to meet his or her needs."

Hedy Weinberg, the executive director of the ACLU in Tennessee, expressed her disappointment, calling the law troubling.

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