Just had a big fall out with a friend

[SilveryMoon]

So years ago, I moved areas and made new friends. Friend x introduced me to (then) friend y. One day friend y messaged me and said x was at her house and was in the bathroom with her dc who had had an accident. That friend x was in the bathroom yelling at her child that she would break her arm. Friend y said she didn't know what to do because this wasn't the first time. I told her taht if she was genuinely concerned about the child, she had a duty to report it, but maybe she should go to the local children's centre first, that we were all visiting frequently. A few days later she messaged me and told me she had done this and that they (children's centre worker) had visited x and had a chat etc. I didn't tell x about this conversation but she later came to me saying that she thought she needed help. As someone who had gone through PND and medication (at this time her dc was about 3yo), I told her that I thought she should go to the doctor and have a chat, I even offered to take her dc to the park while she was there. This happened and x came out with prescription for medication.
As the years went on, me and x built a strong friendship and discussed this many times. Tonight me and x were talking again and covered same old stuff and she said that never have I said anything about arm breaking threat. I told her I may have gotten confused with a different conversation but that now, this far on it doesn't really matter because she got help that she felt she needed and her child is safe. She threw me out of her house and told me that me thinking she;d do that has really upset her, which I understand.
I don't know what to do now. I like this woman and although we disagree in our parenting approach I don't think she would harm her child, but at the time I didn't know her and just did what I thought should be done by advising her closer friend of responsibility of issues she had (so called) witnessed.
Me and x have messaged tonight since I was thrown out and I have said all this to her but she says she is angry with me and doesn't know what to say.

I don't think you've done anything wrong at all. If she really didn't say it, then her anger should be directed at the other friend not you. Chances are she did though, given how she was feeling at the time.

I would send her a lovely message saying you have so much respect for her, getting help, that you think she's a great mum, that you value her friendship and will be there if she wants to get in touch. And leave it at that.

What you don't want to do is apologise, or admit to doing anything wrong, because you really didn't. It sounds like you've been a lovely friend.

Thanks. She messaged me this morning and said she was upset because I had never told her that before, and that she's upset because I'd thought all this time she had said it.
I replied and said that we have had this conversation a number of times and that I didn't think anything because I wasn't there, I can't judge what I don't see you know?
She sent another message saying that she doesn't want to fall out over it. I haven't replied, nit sure what to say.

Tell her the truth, you don't want to either. She has reacted like that in the heat of them moment.

So, you told her something she didn't like hearing about herself, she got upset because for all that time you had believed she had done/said a horrible thing. She threw you out upset. You texted an explanation and apology. She texted back she was still angry. Now she has texted she has processed it all and does not want to lose you as a friend...

... and you do what? Find a new high horse to climb on? Get embarrassed, too embarrassed to give her a call and reassure her she hasn't lost a friend?

I am confused... I was with you until you said that her not wanting to lose your friendship made you have doubts... put the poor woman out of her misery!