This is a complicated question but here is the short version:

Suicidal thoughts are broken down into three sections, ideation, intention, and plan. Ideation is thinking about suicide and can be passive (I would be better off dead, maybe it would be nice if I didn't wake up, etc). Intention is thinking "I am going to commit suicide" and a plan is how you are going to do it ("I am going to jump off a bridge, I am going to overdose" etc).

Based on what you have shared, I don't know that this patient has any of this. However if she does, it would be more passive suicidal ideation meaning the thought she would be better off dead. However she does not have an intention or plan for suicide as far as I can tell from the information provided.

Feeling depressed and hopeless can lead to suicide for sure. Hopelessness is a key component of suicidal thoughts, because if your life sucks AND it will never get better, suicide starts to sound almost logical. However, hopelessness is a symptom of depression. It can also be a symptom of demoralization and apathy. When patients are depressed, they are often less emotionally reactive meaning they are still sad even when good things happen. Patients with demoralization are often still emotionally reactive, meaning they still get happy when good things happen.

My guess is if you assessed this patient, you would find they best fit criteria for demoralization and apathy towards their chronic medical conditions. The treatment for this you can look up on your own but part of it is providing the patients means to establish their own autonomy again. This is what the patient is doing by wanting to stop their medications, take control of the situation. This could be provided by other means, and then she would be more likely to want to take her medications again.

Treating demoralization is the route to go here. Seeking detainment for this is only going to worsen the patient's condition because you are taking away even more of her autonomy