Best of luck with the introductions. Things do tend to go slowly, but do not fret, they will come around.
If you want to know the truth, I have never introduced cats to each other when one is in a carrier. I know a lot of people say this is a good way, but try to think about how the caged cat feels. VERY TRAPPED. no place to run no place to hide. So, if the carrier method fails you, a baby gat or lattice between the rooms might serve your purpose better. they can see and smell , but not fight and EACH of them can runm and hide if that is what they choose to do.