Background
My now ex-girlfriend and I have dated for nearly three years (both nearly in our 30s). Up until some months ago, our relationship was the perfect one everybody is looking for. In short, we would never argue or be upset with each other, we had similar tastes for almost everything and the same goals in life, both deeply in love with each other.
However, since the end of last year, she has had several personal and financial setbacks that have put her under a lot of pressure and stress, which she is struggling to deal with. Over the last few months, she has been closing up more and more, not wanting to talk about her feelings at all and getting colder towards me, but as far as I know this has been a repeated behaviour towards most people she knows.
As a consequence of those setbacks, she seems to have changed dramatically her life goals and is cutting some friendships she has had for a long time. In general, it seems as if she is trying to cope with her problems by closing up and pushing everybody out of her life.
At the end, and as a product of this behaviour, the situation between us got unsustainable, with frequent arguments and both losing the enthusiasm for the relationship and she decided that she wanted to end it in a friendly way.
During the break-up, she had moments when she was eager to talk about things, opening up and admitting that she is not dealing with these issues properly, but most of the time if I try to talk about why things are going the way they are, she says that I am trying to influence her opinion and force her to stay with me.
On top of this, she has always been very introverted and I was the only person she shared her feelings with. She has many friends but doesn't consider any of them to be close enough to her as to talk about deep stuff like this.
Question
As she has admitted before, she is not dealing with her problems properly. I do care a lot about her and I am worried that she might regret in the long term some decisions she is taking now or that she could take soon, making drastic changes in her life impulsively. The question is:
How can I bring up to my ex-girlfriend that she needs mental-health support, probably professional, without her thinking that I am trying to push her to get back with me (as if I was hinting it is temporary and that she will want to be back with me)?