How Do you feel About A Non Jew Writing About Jewish people?

I am asking because I signed up for this summer writing class and we have to write a thriller type novel (so think of police,murder,investigation) that sort of thing.

Now without giving to much of the plot away (who knows this book might be a best seller) one of my main characters is the head of a fire department who is Jewish and married but him and his wife have a secret relationship with another guy.

I myself am black and according to 23 and me I have no Jewish ancestry at all (although I am ten percent Irish which goes into the story), so I was wondering if there are any Jewish stereotypes I should avoid putting into my story, and how do you feel bout non jews having jewish characters.

I also want to say the Jewish couple is part of a larger class of characters.