I can't accept that
I don't believe or agree with what you are saying. They said Amanda was more qualified for the promotion than I am, but I can't accept that, knowing that I've had more training than her.
I can't accept that.
Inf. I do not believe what you said.; I reject what you said. Sue: The mechanic says we need a whole new engine. John: What? I can't accept that! Tom: You're now going to work on the night shift. You don't seem to be able to get along with some of the people on the day shift. Bob: I can't accept that. It's them, not me.