Update of google services (for Threema) without google account terminates google services?

Personally I’m always hesitant to use 3rd party sources for apks, but that’s for everyone to decide themselves. That disclaimer being given:

If you do really need google services (which seems weird for Threema, as Sonne pointed out - but I have neither the FP2 or Threema personally, so I don’t know):
Did you check which version you need according to the instructions when you scroll down on the page linked in the quote above? The […]-270 version shouldn’t be the right version, given that it appears to be for x86, whereas the Snapdragon 801 in the FP2 is an armV7 processor. This would mean that you probably need the […]-230 or […]-430 versions, but the best way to determine this is to follow the instructions given on the linked page (after you’ve restored the stock services).