Translation guide
A café where customers can interact with cats. The concept originated in Taiwan and became popular in Japan, so the Japanese term is a direct loanword.
Referring to a café where cats roam freely and customers can pet or play with them.
The standard term. '猫' (cat) + 'カフェ' (café).
The term '猫カフェ' is a direct loanword from English and is universally understood in Japan. No need to explain the concept further.
週末に猫カフェに行きました。
I went to a cat café on the weekend.
That cat café is popular.