If you can't accept your girlfriend having a cat, this is an issue that requires open communication between both of you. First, it's important to understand and respect each other's hobbies and lifestyles. You can try expressing your concerns or worries, such as being allergic to cat fur, worrying that the cat will disrupt your daily routine, or your considerations regarding the responsibility of caring for a pet.

At the same time, you should listen to your girlfriend's thoughts and feelings, understand why she likes to keep cats, and whether she is willing to make compromises or adjustments for the care of the cats and your life together.