The antenna of the cup tore apart when pulling, can I still use it?

You don't need the antenna to use the cup

The antenna is the most delicate part of the cup, and it tears off easily if there is a smallest tear from nail for example. You are not supposed to pull from the antenna under any circumstances, as it may further the tearing of the antenna and increase the pressure, which will complicate the removal of the cup.

Anycase, in case the antenna tears off, you can still use the cup normally. Also, if the antenna gives you discomfort while using the cup, you may choose to shorten it with scissors.