I have the same problem.
How did you manage to get to the battery at all?
The iFixit guide for the battery replacement doesn‘t work for me because in my case the swollen battery just popped out the glass front. The black bezel (where the home button sits in, for example) is still sitting very tight inside the siver frame.
Should/can I safely bend the glass screen over to remove it to be able to grab the black frame/bezel?
Or should I somehow (but how?) try to bend open the black frame *with* the glass. However, applying the suction cup is not an option anymore.