She could have got home in and instant if she'd only slept with Q.
But she wouldn't sacrifice her principals. "No fraternizing with omnipotent life-forms".
I bet Picard would have slept with Q if he was put in the same situation.
It wasn't the sleeping with it was the breeding with she objected to. It's not like there's any court of law that could have even given her visitation rights to the resulting child. He was asking her to make a baby for him to give away.
I'm not sure Picard would have done it either.