Geez, Karen!!! He has not even met her. How can he say he doesn't like her? Your C sounds wonderful to me. She certainly is helping you. I'm sure she would be great for the kids, too (especially if S14 opened up to her). It's hard to find a C that you click with.
He sounds so controlling. Is this C making so much of an impact on you, and your decisions, that H is jealous? Do you think he talked to the kids about what they talked to the C about and that set him off?
Why does he not want them to see her? They need help to get through this. He should at least talk to this C before deciding if she is good for them or not. I would stand up to him on this one! Why should this be his decision?
I'm throwing lots of questions at you just because I just don't get it! Maybe he wanted you to stay depressed, overweight, complacent, etc., but because you're not, because you've actually blossomed, it's just made him angry or jealous?
When's your next appointment? Perhaps you can talk to the C about this. In the meantime, I'd stop mentioning her to your H.