Given the OP’s aggressive and rude replies to people can you blame the mother for not speaking to her?
JustLyra, I think the OP responding sharply on an anonymous thread, when she has shared a difficult situation and is feeling judged by other anonymous posters, is a different scenario to how she may respond with the other girl's mother IRL.
It seems clear the other girl's mother doesn't want OP's daughter in her home, and it's hurtful if you know your child is being rejected.
If the other mum also stopped her daughter asking for and attending play dates at the OP's house, that would make the rejection cleaner, and "fairer".
But the other mum hasn't done that, and is modelling and encouraging a power imbalance by continuing to allow her daughter to attend play dates whilst not reciprocating.
And other posters on here of autistic kids have agreed it's an unpleasant and unfair situation, but have mostly advised the OP to suck it up in the interests of helping her DD socialise.
I'm not disagreeing with that advice, I'm just flagging that there's lots of acknowledgment on here that it's an unfair situation and that OP and her child have more limited options because of autism.
So, if that's acknowledged, why are posters turning the focus away from acknowledging it's a power imbalance that stinks and instead seeking to blame the mother?
My point is that if you blame the mother rather than acknowledging the situation is unjust, you're protecting yourself from recognising that perhaps you too (not you personally Lyra, the plural you) may be fuelling the same type of power imbalances in your own DC's friendships, but attributing it to reasoning around "stair rules" (or whatever the equivalent red herring is in your household), rather than putting in some effort to find an adaptation to level up for an autistic child.
Given how many of us posting have children with differences its rather random to say replies are because we’re uncomfortable with our own attitudes.
Yes, I take your point that some posters here with autistic DC are also saying rules in others' houses (eg stairs) must be followed and autism is not an "excuse" for disobeying house rules.
I'm not disagreeing, but saying the reality is more nuanced, because an autistic child may need more support to follow the stairs rule.
It is excluding to invite a disabled person into your home but then reject them if they can't follow all your usual requirements. As a pp noted, ease May come in time after a number of dates, with scaffolding from the parent.
Basically, if the other child has more natural skill at socialising and has a wider variety of play partners to choose from that they can exclude an autistic child, who has less options of friendships - it's a power imbalance due to disability, and it stinks.
I'm trying to affirm to the OP that yes, this power imbalance stinks, and that I think it is a societal issue and not a personal one about her parenting.