I'm a reasonable person and it doesn't mean that to me.
As a reasonable person I would hear them out on the doorstep.
It could be important. It could be an inheritance. It could be an inherited disease.
It could, as OP said she had a traumatic childhood, be someone that is reporting historic abuse to the Police and the Police have asked if there are other possible victims.
That happened to me though I was in contact with the other abuse victims who decided not to support my report because of how it would effect their family relationships. Which was a kick in the teeth no matter how I understood where they were coming from .
Fact is, OP doesn't know and even if she wouldn't want to hear them out, she can just make it clear she doesn't care what they have to say and ask them to stop contacting her.
Then if they persist she can possibly make a case for harassment.
Till then, she's not got a case and is potentially causing anxiety and distress to other people who have no idea why she's reacting the way she is. Or are making false assumptions based on her behaviour.