I took both my kids out at around a week old. I didn't have a csection though.
I got a cab to an italian restaurant near me (just in case) and wrapped logan up warm. He was born jan 15
layla went back and forth from my house to my hubbys (at time we weren't living together) he took her on a 10 min journey to his house wrapped u well when she was 2 days old.
Don't worry about it baby will be fine! You think in other countries they keep em indoors for weeks? Nope they gotta get on with it.
Its if you feel recovered enough that you should thnk about but alot of celebraties are swanning around a week afer a csection so you might be ok.