I honestly think their job is not to comfort you, but to help you learn to comfort yourself. You are the only person who is always with you. If you can learn to give comfort to yourself whenever you need it, then you will never, ever be without comfort. It's like give a man fish or teach a man to fish. Who on earth would want to depend on one person for comfort for only one hour every week? That is just setting yourself up for pain.
A therapists job is not to give comfort. A therapists job is to model compassion, empathy and care and to assist clients to develop those skills within themselves.

There is nothing inherently wrong with sadness or strong emotions. They themselves can't hurt us. They are just feelings. They come, they go.
But setting yourself up to be comforted by someone who may or may not offer some form of comfort for one hour out of every 168 is utter madness.

Make your goal to learn from your T how to comfort yourself, and you'll be able to use self compassion to regulate your emotions and comfort yourself all on your own.