I'd suggest a reassessment. Perhaps you ruptured it a bit more? (despite no swelling).

The click might also just be the bones trying to relocate from a less that idea position. You brain will be hesitant for a while following but your PT should be able to assist with working this out.

You need to rehabilitate more for lunging, side-stepping, running diagonals etc etc before you take on badminton etc. Emphasise this to your PT that you need a more 'aggressive' strategy now for returning to sport. The activities you mention in you post don't really test the rotational stability of the knee so those alone are not enough.

Badminton/squash etc would be considered a difficult sport to contend with following a stretching/incomplete tear of the ACL. Best of luck though.