To me it sounds like the T from the charity may have been getting pressure from the charity to cut things off. At least that is my hope. I can’t imagine her being so caring and helpful and then not. I also had a T at one point working for a place that subsidized the costs of therapy. Their opinions and agendas definitely impacted my therapy negatively.
The other one… this may sound harsh but if she isn’t going to keep space for you (or at least follow up before filling her calendar… then perhaps it is better that things end sooner rather than later. I know I wouldn’t want to work with her from what little you shared.
I wish you luck finding the right T… it is SO hard and there are so many bad and useless ones out there… just remember you are worth the effort it takes to find the right person to work with!