Due Date:Nov 2nd already 3cm dilated

When I went into my appointment my obgyn informed me that I was already 3cm dilated and expercing contractions! Being only 35w+6d I'm total freaked that my baby might be born premie. Any moms out there who we're dilated so early, make it to at least 38 weeks? I'm a ftm & was already scared having to care for a newborn but now im even more nervous with the possibility of a premie. I was recommended bed rest for the rest of my pregnancy, which I will do but is there any other way to slow this process down!?