I'm going to ask my SO to relieve me of my debt (3,000EUR) since she won 100,000.
Nice! Are you planning on paying her back?
No, I don't think I need to.
If she gives you money you should pay it back eventually. Don't ask her for the money if you have no intention of repaying it.
I need the money now, so I won't be able to pay it back for now.
I think you should both talk about your debt. She might expect you to pay it back but she could also agree to forgive the loan.