This isn't helpful to your overall situation...but my ex-husband felt left out and was jealous of the attention I gave my chronically ill cats. Some of that came out in our therapy together, otherwise I would never, ever have thought it a possible option...he wanted more attention and felt like I cared more for them than him.
So your H might not agree and might be against your therapy because he doesn't feel part of it or understand it, or feels jealous of the feelings you have for your T and perhaps wonders (even if it's somewhat unconscious) where your feelings for him fit in.