No, she doesn't

"You're supposed to do that yourself," your mother says.

"No, I'm not. I am a king, not He who rules the vast world," you say while spreading your arms wide. "I can't do everything. I have to have men fight and die for me, magistrates to collect the taxes, and bards to entertain the people; I can't do all of those things. If that's the case, why can't I have you solve me that problem so that I can focus on other things?"

"You didn't have any problem sowing your wild oats,"

"And sowing wild oats that I do. Right now, I'm still trying to think of so many things to do in this country, that if you're to press me to sire an heir, the only solution that I can think off..." you trail in your words. You realized that you don't have a real solution. Then, the only thing to do is to offer an outrageous one, "To do it with you."