Good afternoon and thank you for posting on the Final Fantasy XIV Technical Support Forums.

When did this first start happening for you? When you started the 4.1 MSQ?

You said that your character is "locked in a DX11 error crash cycle." Does this occur when you first log into that character, or can you get into gameplay? Can you log into other characters?

What have you tried so far in order to resolve the issue?

We hope we can be of assistance in helping you enjoy the exciting world of Final Fantasy XIV!