TIFU by accidentally telling a kid his parents might get divorced

So this just happened and I am not sure if I should feel terrible or not.

I am camping with my son (7) on a small family camping with lots of families and kids. As a divorced dad going alone with my son to a camping we are both used to the questions where mom is etc. no big deal.

He has made lots of fun friends. But there is one very annoying kid (8). The type who overstays his welcome, keeps begging for candy or toys. Even when my son is playing elsewhere he comes up and asks for candy. And for the last two days he is coming to our tent a lot. And I am just trying to read my book. Now he made it his mission or something for me to get mad at my son, and he comes up to me with every little thing my son allegedly did. And these are stupid little kid stuff like make a funny face or skipped his turn at a game. When I said one time I would talk to my son later he waited 30 minutes in front of my tent for me to get up.

I have a lot of patience and been nice to the kid for days.

Just now he came up to my tent again... my son was playing somewhere else. And he just grabs my sons iPad, sits down and tried to start it. Very nicely I tell him no, and that he should go play somewhere else.

The kid starts asking questions like "where is your wife", "why are you alone"... but in a annoying way. Or I am just annoyed by the kid.

Well he asked: "So you and [sons name] mother are divorced"

Me: "Yes, but can you just go play. I am trying to read my book."

Kid: "Why are you divorced?"

Me: ignoring him and reading my book

Kid: "Well!... my parents are happily married!"

And without much thought I sarcasticly blurted out:

"Well yes... for now, give it some time. Go play."

He just walked away looking very sad...

TL;DR : Lost my patience with annoying kid. Told him his parents might get divorced.