Called a "c*nt" in front of his kid over a P&C spot...

[SorryIParkedWrong]

Hi all,
Need a sanity check on an interaction I had yesterday that's still bothering me.
I used a Parent & Child spot yesterday at a quiet retail park. I know, technically wrong, but I was doing a massive haul for a house move and needed the boot space, and loads of other P&C spots were free so I wasn't leaving anyone without.
The issue happened when I got back to my car after shopping. I was in the driver's seat, engine on, and was just about to reverse out and leave.
A car pulled into the P&C space next to me. A woman got out with her young child and. She came right up to my window, which was cracked open, and said in a really aggressive tone, "You shouldn't be parked there."
Not wanting any drama or to explain my point to an emotionally enraged individual, I just said, "Ok," and put the car fully in reverse to leave. That's when she and the dad who appeared completely kicked off. Standing right by my car door, she launched into an absolute tirade.
She was shouting all sorts - "cunt," "fucking little shit," "look at your shit car," "fucking shit driving." All while her own young child stood there watching the whole thing.
I briefly stopped reversing, said through the window "I hope you have a lovely rest of your day," and then started to move again. She and her husband just kept going with the abuse, so I stopped the car again because I was just in disbelief. I looked at her and started laughing at the sheer absurdity and the level of her rage.
I know I shouldn't have used the spot. But AIBU to think her reaction was completely unhinged? Does my minor error give someone the right to hurl that level of personal, nasty abuse at a stranger, especially in front of their own child?
It honestly felt like she was just projecting all her life's problems onto me over a parking space. What do you think?

@Giraffemonkey8

have you ever dealt with the bureaucracy to get a blue badge? If you haven’t then you have no idea. My dsd is entitled to one, can’t walk far, severe ld’s, 24/7 care in place yet neither is nor her care team can get one because of paperwork, the council has put so much red tape in place, apparently they want a mandate from the court of protection to prove that dh can speak on her behalf (she has no capacity) we have it in place for finance but we can’t get it for health because it’s not needed according to social services, yet the same council …. We use the p&c places because we need to fully extend the door or pull the car out into the middle inconveniencing other car park users.

Yes I think that their reaction was completely unhinged.
If it was a busy time of day where those spaces were sought after, that'd be different. But as you say, there were loads of P&C spaces, so I don't see the problem.

Mind your own business....