If she didn't say it with harshness in her voice she may have meant something else.

She may have meant that you see asking her for time/care/empathy as a huge favor and feel uneasy, like you're worried about her putting herself out. She's replying that all that comes with the territory, it's what she signed up for when she became a T. It's not that she sees you as a job in a cold, impersonal sense but that she feels that it's all par for the course that you have needs and want to be cared about and she's happy to be there for you.

It's not a favor to you, it's just what she does. You can feel free to ask. You don't have to be grateful that she's there for you, she's saying you deserve nothing less.