Jimmy Choo How to care for my jimmy choo shoes?

I've searched the forum for help, but couldn't find any, so sorry if this question has been asked before.

I've recently bought myself a pair of jimmy choo sandals in satin. As I live in a city with many brick streets (the ultimate foe to stiletto heels), I countered this problem with heel protectors, worked wonderfully, but then it started to rain...

I changed shoes but not quickly enough as the satin now had gotten some spots of dirt on them. Any tip of how to get it off? The shoes are light pink/powder colour so it shows!

I've tried to very gently rub with a damp towel, which helps a little, but the satin doesn't react well to it.

I'd greatly appreciate it if anyone has any hints or tips!!