Well, reading the last two responses, I realize that I don't know enough about Constitutional law or civil rights legislation to make any meaningful comment about this. And I think this really boils down to a civil rights issue.
Lara, with all due respect for your religious beliefs, and your ability to speak for God, all that is irrelevant to this case. We are not a theocracy, and what's involved here is whether or not there was a violation of civil rights.
rgo, that's an interesting point about whether tax dollars are involved. I really don't know if that factors in as an element of civil rights legislation. Hypothetical example: If an emergency room doctor refuses to treat a patient because the patient is gay, or the wrong color, wrong religion, etc., is that a Constitutional violation, or just a violation of medical ethics? What if he was not working in a public hospital but conducting a private medical practice? Does that change the rules?
One way to consider this case is to reverse the positions of the litigants. What if a Bible-thumping fundamentalist wanted to order a cake from a gay baker who did artistic creations, and the baker refused on religious grounds? Who would be right in that case?