I want to be a better coach

I have a client who I am not sure is coachable, and I want to be a better coach and create space for her to feel safer to be coached. For example, when we talk about how it is important to take care of herself before she takes care of everyone else, she says something like, “I guess I should, but it’s hard.” When I ask her to think about whether it actually is hard, she says something like, “It just is.” When I ask her to tell me more, she talks less, and I find myself talking more. Would love any guidance on how I can be a better coach for this client.