Hmm, both my girls had the cord around their necks (as did I). DD2 never was an issue, as labour was quite quick, but DD1 was a longer labour (double the time) and it created a problem.
The Ob realised, and said I needed to have an epidural to slow my body down (I was induced) and she came out fine!
I can understand you being concerned, speak to Ob or GP.
Good luck