Yes I know she is also in UoW and is in SC then, but I don't know if she is in SC in SoTA. From what I remember to get into Contact you have to apply, but to go from Contact to SC you have to be wait to be asked?

Well, in my favourite Culture novel the SC agent doesn't even realise. Yime has apparently chosen to keep her status even from her future self, being I guess mind-wiped or given selective amnesia so in her mind she's important because she chose not to be in Special Circumstances but it turns out that's just even deeper cover.