*Sighs*
When people refer to "next Saturday" it could mean one of two things...
1. The Saturday after "this" Saturday (so, the Saturday after next)
2. The coming Saturday ie, the nearest Saturday.
I'll bend and say yes, it is this next Saturday... But in my opinion, the next Saturday is the one coming, since that is a correct use of the word.
And never again shall we have a situation like this arise... Don't mess with people like that >.<