It does look like you got a lot of broth, and that may be some of the issue. It may be too dilute to have a real punch of flavor. You might try simmering it down to about half the volume you start with, that may help.
Otherwise, I do about what you posted. I don't measure, so I can't really give you a recipe per se. Recently made creamed chicken from roosters, it went something like this......
1/2 cube butter melted in skillet. Chop half an onion, some celery, garlic. Saute a bit. Add chopped mushrooms, cook a bit. Add 1/4 cup flour, sprinkle over the veggies, then stir and cook for a few minutes, basically a roux. 2 cups broth, 2 cups milk. Stir and bring to a gentle boil. When it starts to thicken, lower to a bare simmer. Add a bag of thawed peas and carrots and your cooked chicken meat (about a pound, however much meat you want). Salt, pepper, I also use granulated onion and garlic. I might put in some bullion cubes or stock base, something like that, depending on the flavor. I like dried thyme, not too many other herbs. Cook til the veggies are tender, it's nice and thick and yummy. Serve over egg noodles, biscuits, tater tots, pretty much any carb you chose.
You can add whatever veggies you like, this is what I do in the winter. In the summer there's always squash and who knows what else......
My other thought is don't be afraid of the salt. Not sure how much you added, but unless you have a medical reason, try a touch more. Store bought chicken is usually brined in salt, so when we cook our own birds we don't realize how much salt is needed to achieve the flavor we're looking for.