water broke, baby not engaged yet!!

Ta
Hey ladies
Im 39 weeks 4 days
I lost my mucus plug this morning followed by a bloody show
Inthen started to leak water.
I called my midwife, she told me to come and get checked.
As i was walking towards the hospital foor,my waters  broke.
I have been having light contractions around 10 mins apart, 
However baby isnt engaged nd im barely dialated 😔
Hospital wants me to stay till tomorrow morning, if i havent dialated, they will induce me.
Did i go to early to the hospital? 
Has anyone experienced anything similar?
Thank u