In this case, it kind of seems like a win-win: the doctor didn't have to violate their conscience, the baby got cared for, and the parents got to interact with a doctor who would be much friendlier and helpful than before. People saying "what if there were no doctor available" are missing the point. There was one, and we have no idea what would have happened in that hypothetical.
I push back on the idea that performing your job as you would for anyone else—in this case, caring for a baby—"violates their conscience." That phrase should have some actual meaning. People who abuse it because they want to show their disapproval or disgust for people different from them by refusing to provide services or goods they would otherwise sell happily, are doing people who live their faith and experience real discrimination or conflicts a disfavor.
What annoys me about these appeals to 'conscience' is that usually they only ever seems to apply to religious conscience and secondly, it makes an assumption that a persons 'conscience' actually deserves any special protection. I do genuinely believe that some people deep down personally feel that their 'conscience' prohibits racial mixing or equality, but we don't allow people to defer to that without repercussion because it's cleary f-u-cking stupid
Thank you! and the issue about whether or not there was another doctor is not tangential or unimportant. It's kind of fundamental.