I'm not quite sure if any of you can help me out, i have a few questions about an friend and how to handle the situation better for both of us.

So there's my friend who i know for many years now, but the contact always went in waves.
There have been many times now where i've always noticed the same patterns in her behaviour, and i know quite some stuff from her background/youth pretty well. To be fair, i've had my own fair share of mental issues in the past but i have learnt a shitload thanks to therapy.

Now, i know she showed many signs of BPD in the past, but as she got older (mid-20's now) her behaviour changed even more and not for the better.
She often tried to tell me things, but i noticed many times that she really has a hard time to accept talking on the more personal things of life.

I also started recognizing the silent treatments and the unexplainable behaviour more and more.
Random moodswings and angry reactions on things i just couldn't understand.
Also, i always noticed that she takes any word about her behaviour very tough, and i just know she has simply no way to deal with it.

So, lately, i tried to point out her behaviour, the constant lying without any reason for example.
She could text me something now and the opposite tomorow. And most likely, both are just made up. Now i really tried to show her this, without insulting, told her i just point it out to make her aware for the better.

Also, as she barely knows how to deal with some things, she starts to manipulate.
I'm pretty sure that she has such a fear to let people come very close to her, she rather manages to try and gaslight people as a reaction.

I did my very best, to make her aware of this, as i know she most likely never realized this.
She also told me quite a few times lately that she had the feeling beeing followed.
Also her constant depressions and need for validation are always around.

Now, i have had my own share of psychosis, but all these signs, made me realize she most likely even don't know what is going on with her.

So what i tried to do, was bring it on my best possible maner, and texted her a link about BPD to ask only if she would recognize a few symptoms.

The reaction i got was actually rather strange, i never told her i thought she had BPD, i just sent her the link because i'm worried about her.

The reaction was that she got angry about the fact i told her she had BPD, and she started texting me things that i should stop thinking for her, stop talking for her, not about her but for her. She also send a few more things that i recognize thanks to therapy that simply makes no sense for anyone not suffering.

The fact that she went full anger and double denial, writing things that makes no sense and a silent treatment makes me think she reacted out of fear? As i never wrote anything about the fact i think she has BPD.

Now a few days of silence, and i just tried to explain her that no matter what, i'm not trying to hurt her or abandon her, she finally managed to sent me a text.

She told me she need some rest to think about things and let it sink down. And about if she will contact me again.

Now here is the question, she most likely know deep inside she has BPD but went on denial towards me and maybe even herself.
What wonders me is why she has to think about contacting me again? I mean, i didn't insist on anything? I just told her i care about her and that's it. She put me on a silent treatment, but not because i did any wrong.

I just have no idea right now what to expect from her, she didn't show anger, but she know that i'm just there as a friend when she needs help. The fact she has to let it sink in, makes me think she took my words very serious and she might realize her behaviour right now.

What would be the best way for me to deal with this situation?
I can't and won't force any contact, but i also want to let her know i'm there if she needs someone.

Any advice is welcome, thanks.