I'll just come out and say it: you did not push her to do this.
One of my younger brothers committed suicide - in a manner so fukkin horrendous I will not even discuss it here beyond the fact he went for maximum pain and suffering with zero chance of reversal. My mother had to send the local police around to inform me of this cos I was at the height of my junky crackhead era and not easy to get hold of. When I finally made it back to where they lived he'd been dead a week and was laid out in the mortuary awaiting cremation. His flesh so loaded with toxins I couldn't touch him or even get too close. Swollen and purple.
In hindsight this is pretty clear evidence that he meant it. At least for that split second when he made the fateful decision he did after years of planning knowing there was no comeback. His last words were "I think I did something rather silly". And you know what my deeply depressed junky brain interpreted this as? "It was all your fault, you should have seen the signs but you weren't here cos you were too busy smoking crack and shooting smack".
It took me a very, very long time to finally accept that that probably wasn't the case. And now I truly know it was never the case - I just made it my case cos it suited my own need to hate myself.
People kill themselves for any number of reasons and sometimes on a complete whim. Those left behind are not party to those reasons - whatever they were if there even were any to outside observers. We all blame ourselves but this is self-indulgence. I hate to be so blunt but it is. People who take it that far had their reasons and they take those reasons with them. At least give them the final dignity of taking it with them because it never was about "us" - it was always about "them".
Many, many apologies for the harshness inherent in the above but this is a topic that brings out very strong feelings in me and I kinda wish somebody had reminded me of some of this stuff sooner than I finally worked it out for myself a very long time later.
Be good to yourself, Kota. The chances are your friend wanted to bring nothing but peace to all she knew. Which is precisely the tragedy of suicide.
Much love