Checked/membrane strip

So I went to my 37week appointment and my OB checked me and I was only 1/2 a centimeter dilated but she wanted to strip my membrane to try and send me into labor so she stretched my cervix to 1cm to do so when she pulled her fingers out there was a bunch of blood. I've now had some small clots is that normal? The reason she wants me to go into labor is because baby's not growing correctly. At 29+4 she measured 29+4 then at 35+4 she measured 34wks and now at 37+2 she is measuring 35wks if I don't go into labor on my own in a couple days then I'll be induced.