Most Gunsmokes involve Matt having to deal with violent criminals, for which I have a limited appetite, so I didn't mind watching to see how this one played out. Dodge City certainly shows a distressing level of intolerance to someone who is 'different', and an equally distressing level of tolerance for that intolerance. No one was defending Billy from his tormentors and Matt had to step in. We know that Matt and company stand for justice, equality and all the virtues; you'd hope that some of that would rub off on certain townsfolk. But there are creeps everywhere.
I found it odd, in the context of the times, that Billy is teased for being a 'squaw man', when he's half-Indian himself and would have more realistically been the object of prejudice as a 'half-breed'. His racial makeup is no secret. The children beg him for a war dance, but happily it's because they find him interesting and likable-- though the time and place are decidedly ill-advised.
It's nice that poor Billy is devoted to his wife Missy and vice versa, though she looks nothing like a Native American, but that's of course typical. At least she's not a blue-eyed actress in dark makeup with a bad wig! We've seen plenty of that.
Other reviewers have pointed out the weaknesses in this story, but it still has its moments. The viewer is at least spared the kind of viciousness that could have gone with this premise, such as racist low-lifes torching Billy and Missy's home, raping her, or all manner of further nastiness culminating in murder and Matt having to shoot someone down. He does start every show killing someone in a showdown, but shows his distaste for having done the necessary deed. It's his job.
So despite a little unpleasantness here and there, this is a pretty gentle episode, though not one of the overtly comedic ones. Interesting to see Sergeant Carter in another role!