40+2 Posterior cervix, not effaced

I'm currently 40+2, I saw my midwife today and she did a sweep. She struggled because I apparently have a posterior cervix, she said I'm not effaced. Has anyone had this and had a successful sweep or gone into spontaneous labour soon after? I feel like the odds are stacked against me right now for him coming any time soon.

Not getting induced until 41+5 and although that's just over a week away it feels like a lifetime and I want him to come now 😟