you are probably moving the fabric too fast try slowing down on the fabric a little keeping the speed of the machine the same.
My thought too. The needle might still be in the fabric when you try and move it away. Also the thread tension might be too much causing the needle to bend.
I had the same thing happen to me on my quilter. If your thread is fraying when it happens there may be a nick in the whole in your plate try to smooth it out with a little bit of sand paper. It worked for me