To remove a chat, first Unmatch them (Tap the
••• button top right of any Chat and then select
Unmatch to unmatch.)
Once done, go to the Unmatched section of your Chats, and open the chat with that person and Block them:
••• button top right of their profile or Chat and then select
Report & Block and choose
I just want to block them to anonymously block them. They will never be able to see your profile or message you on muzmatch at all, and will not be notified of this action.