Animals are very sensitive to energy and very perceptive of it, far more so than humans these days.
Cats specifically are very attracted to people with higher energy levels, and there have been many Zevists who had cats who had similar experiences.
For example, cats who came running at them in excitement when they were doing yoga, clinging to them and couldn't stop purring, etc.
It is cute, but also can be distracting, so try to find your balance on how to deal with this, maybe do yoga in another room, and let your cat in after you have finished the routine, or when you are doing corpse pose at the end when your cat can't really get in your way anymore.
If it's not a problem though, this can be a great bonding activity with your cat, and this closeness is similar to being with a familiar.
You could even request Satan to have your cat become your familiar, through a ritual to Him.
Your cat feels comfort in your aura, they want to be as close to you as they can, since your pleasantly empowered aura is as a warm and sweet embrace for their beautiful little soul.
Pets are the same with me, almost always when I visit anyone who has a pet, they will stick close to me even if it is the very first time I have seen them. Lay on my lap, stay next to my leg, climb over my shoulder, etc.
Especially cats, even grumpy cats who don't want to be pet by anyone.
The cleaner and balanced your soul is, the more pleasant it is to animals.
When you are also in tune with nature around you, and have an extremely serene presence, even skittish wild animals may approach you spontaneously, such as birds you've never seen before landing on your shoulder, or wild deer coming to greet you.
This is very rare, but can happen when you have a very high degree of purity and balance, and also are open to this.
HAIL ZEUS!