I was confused by this instruction, and didn't realize until much later that the EMI shield has to keep the display cable assembly down against the digitizer, so you don't see the gold fingers/pcb traces at all when it's installed. I had to remove my EMI shield again and reassemble it, but that ended up being easier because the camera/speaker/ambient light sensor/etc. was already installed and I could get the three connector tails to stick out in the correct order for reassembly.
The 6S I was working on didn't have any adhesive under it and the EMI shield came off easily.
When reassembling, I'd hold off on assembling the EMI shield until after the home button shield is reinstalled--just hold off on the one screw that installs both. This eliminates having to try to finesse the home button shield underneath the EMI shield, and also makes it easier to get the three connector tongues at the camera/earpiece/speaker end in the correct order for reassembly.
Yes--if you, like me, could not get the digitizer connector to seat, you've probably got confused on the reassembly order. I had to remove the EMI shield (seven screws), and reinstall it ON TOP of the big flap tongue that comes with the new digitizer, rearranging the order of the connector tails. Note that one of the connectors is a bit shorter than the other, and one of the receptacles on the iPhone is shorter as well. Make sure you're laying down the tails and connectors in the right order when you reassemble! The display data cable--sideways to the others, toward the outer edge, goes first. Then the longer connector, and finally the shorter one. When they're seated, they're seated, and you'll be sure of it.
My kit's screwdriver failed about the time I got to the last few steps in this tutorial. I had a cheap precision set with a #000 bit but that refused to seat in the screws. I went to Home Depot, bought a lifetime guarantee Husky precision set with #0000 through #0 bits and that worked beautifully on every screw.