Ancient Egypt lasted for over 3000 years. In that time, religion changed a lot so it's near impossible to find one true interpretation of a deity.
I like to associate Bastet with joy, fertility, protection of the household and agricultural produce. This due to kittens being playful (joy), cats having large litters (fertility), fearlessly fighting snakes, which Egyptians were scared of (household protection) and hunting rodents feeding on food reserves (agricultural produce protection).

Art by Saneaz https://www.furaffinity.net/user/saneaz/
Character by F-R95 https://www.furaffinity.net/user/f-r95/, belonging to Primonyr

Please ask for permission before drawing NSFW of her, thanks.

Formal ref to be added