ovarian cyst in pregnancy currently 36wk+6


I have an ovarian cyst about 10cm in diameter on my right ovary. I had a growth scan a couple of days ago 36weeks +4 to check the position of the cyst. It appears to be partially blocking my cervix and stopping baby's head from fully dropping down. I've now been advised to be induced at 39 weeks. Has anybody had anything similar and still been able to deliver vaginally? the consultant thinks that the cyst will push to the side during delivery.