What happens if one of the spouse doesn't accept to sign for divorce papers?

You have them served. The papers are presented to the Respondent by the Sheriff (cheapest) or a process server. He/She has 20 calendar days to respond. If they respond, your case is contested and the Judge you were assigned when the papers were filed will send you or your Attorney,

What's the worst thing that will happen if I refuse to sign the divorce papers?

You'll keep on waiting for that other shoe to drop. And you'll be paying legal bills. You'll be stuck with a person who doesn't want you, and you'll not be able to move on with your life and be truly open to someone else. You're