I found it easier to use the craft blade that came with the kit.

Thanks, Andy. After reading your comment, and as I only needed to replace the battery since nothing was wrong with the screen, I too was able to remove the sensor without detaching the screen.

I could not get the face to swing out of the way as shown for fear of tearing the tab connectors. I let it “hang” as much as it would and had to work with it partly in the way through the entire process

In my instance, the problem started with the face/screen popping off because the battery swelled. So I didn’t need to heat the face and pry it off. I did heat it a bit in order to warm the residue adhesive on the edge of the face and the case frame and found it easier to scrap it off gently with the craft blade that came with the $39.21 battery replacement kit. If this is your issue, you can skip the prying up steps.