That sounds like either a very active culture and/or a mix that includes rennet, which will clot immediately.
Either way, the acid cheese you have made will be lovely
. Strain it and use it in salads, or as a spread, or make cheesecake with it - and enjoy!
When making yoghurt I usually pasteurise first, so heat to 68C for 30 mins, or 80C for 20 seconds, then cool to around 40-45C.
I take a little of the milk out (a teacupful) and mix it (gently!) with the starter culture, then swirl that in (gently!) I don't think I do stir it, but if I did it would be once round (gently!) with a clean spoon, at most.