You don’t have to stay in but you don’t have to do much either. Does she like going in the garden. Mine likes doing things like play doh or painting at home
We love going for a walk or to the park ( I know that isn’t for everyone ) but I do think half a hour swimming and then a hour horse riding is a lot for a little one In one day but that’s just me. I’d say one or the other is plenty cos she goes to nursery as well.
Mine goes to nursery 9-3 and when we got home he’s tired. We usually play for a bit he has a chill on the iPad whilst I make tea and clean up then its bath and bed
Weekends in summer we are usually in the garden or a walk
Winter soft play once a month

. We really don’t do an awful lot. Your schedule makes me tired just thinking about it!

---
I have never put mine on the naughty step. I don’t want to sound like a
twit but it’s just not something I do. And if I tell him off like raise my voice he gets upset and cries more. Maybe I am soft but he is quite a good boy most of the time and I rarely have to tell him off!
I think some people would say I spoil him a bit and maybe I’m too soft but he is genuinely well behaved. I don’t let him do what he wants but he does have probably wider boundaries than some on here just because me & my partner are both quite laid back.
Love the sound of your calm corner. I bet I would have liked that when I was little

---
can you offer her something else instead. Mine sometimes goes to the freezer like 10 am and I’ll say you’re not having an ice lolly but you can have some cereal or a croissant or a banana. Will she be happy with that!
I always find small compromises are better maybe some would say easier