If you received a private message you would like to delete, you can click the little cross in the top right corner of that particular message:
delete message


But thanks anyway, Maby I’ll login with my computer

But thanks anyway, Maby I’ll login with my computer
You should also report it, if it is bad enough.
https://support.chess.com/article/209-how-do-i-report-someone

Is sending me a photo of a naked girl, trying to make me click on a link and never play chess bad enough?

Is sending me a photo of a naked girl, trying to make me click on a link and never play chess bad enough?
Yes, please do report this: https://support.chess.com/article/209-how-do-i-report-someone

But thanks anyway, Maby I’ll login with my computer
You should also report it, if it is bad enough.
https://support.chess.com/article/209-how-do-i-report-someone
Actually, if it's bad enough to report, you should not delete it: the Support team will connect to your account, verify the message, and delete it after they've confirmed. You don't need to submit a screen shot that way either.

But thanks anyway, Maby I’ll login with my computer
You should also report it, if it is bad enough.
https://support.chess.com/article/209-how-do-i-report-someone
Actually, if it's bad enough to report, you should not delete it: the Support team will connect to your account, verify the message, and delete it after they've confirmed. You don't need to submit a screen shot that way either.
Very good point, my bad, thanks David!
I got a really gross and disturbing message
Can I delete it?
If so, how?