You are responsible for only you, not for her.

But I have another take on this situation. Mental health is often inherited. It seems likely to me that it is from her that you inherited the propensity for your ill-health. It may very well have been your presence that triggered her own problems but that is different from causing it. Her having anxiety, depression, and irritability are problems she already had within her.

How old is your mom? I ask this because mental health issues - like bipolar - often don't show themselves until the mid-fourties. And they don't flare up as extreme until some situation triggers it.

Anyway, you are not responsible for this.