When I make a cheese, I put the cold milk in the covered pot with CaCl2 for the night (10 hours max) and allow it to hit room temp (which it never does, and remains around 65ºF or below). So I never add the CaCl2 as late as most. The culture goes in when I warm the milk enough in the morning, then the rennet about an hour later, depending.
I will add my distilled water/annatto just after the starter is stirred in.