@Tambatamba, I can identify with you - one of my DCs had to drop out of sixth form due to extremely poor mental health. Mental health services here were, at the time, absolutely useless (kept downgrading the referral, eventually offered a telephone call seven months later, which DC would not take as they were so anxious).
Somewhere around two years after the initial 'breakdown', they, eventually, were receptive to the idea of medication (they had looked it up on the internet and all of the advice was to not be medicated).
Two and a half years down the line, after starting fluoxetine, things gradually started to improve - so much so that recovery meant wanting to do something with their life, starting to study an A level of their choice, but then going on to do an apprenticeship in the same subject.
It's a couple of years on now, DC was successful in their apprenticeship, now has a permanent job, and is lined up to do the next stage of their qualification (via another apprenticeship), which will then mean they can work for themself if they want.
It's been amazing. We've gone from the days of not even being able to get dressed to go to school, to DC living and working independently.
It was awful at the time and took a toll on my own mental health.
In answer to your question, I think that poor mental health seems to have a stigma still, and that if you suffer from it, you are somehow lesser. That's not true of course, and totally negates what those experiencing it and their families go through.
Meanwhile, I am taking antidepressants - I started back on them when DC was going through their bad patch, and then came off them afterwards, but am now taking them again due to a life-changing diagnosis which impacts my daily life.
I'm not ashamed of it. Life has given me a few hard knocks and I've found it difficult to deal with. Many people don't feel comfortable in saying that, I know.
That was a huge word bundle, but in essence, I think you're a fabulous mum for sticking with it for your DD. I know how tough it is. 