Happysea I am sorry this is shitty.
We have had experience of something similar.
Can I suggest a few things, if you wish.
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Get some help to deal with your own anxiety, please. I had really horrible anxiety about 20 years ago and got talking therapy (Cognitive Behavioral Therapy) on the NHS. It has really helped. I am fine now, not anxious at all. I also think assertiveness training is helpful too. This is to help you to be strong for your dd and help her handle any rejections etc.
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Do you know why your dd is less likely to be invited? If so is there anything you can realistically do to help with this? I think trying to get children to change to fit in with others is not necessarily a good idea, unless the reason others may not like the child (as much as others) are down to anything antisocial etc.
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Do you want to ask the other parents why this is? This is not me saying do it, just me asking! I really do not recommend asking/confronting other parents etc, especially if you are anxious.
However, if you were really able to handle comments in your shoes I would be interested to know the reason and might consider talking just to the parent I felt closest to about why your dd might be excluded.
I really think it is a good thing the other girls came to your dd's party and hope you will not let your dd find out about this.
My daughter had two friends she liked a lot who did not seem to reciprocate. Every year she invited them to her party. There was a boy and a girl who were in her first two years at school.
The boy came to parties just for a couple of years but the girl for ages from about age 5 to 8 or 9. There was never a reciprocal invite and we only visited the girl's home once (and boy's never).
I was so delighted the year dd left the boy and then later the girl off her list and concentrated on friends who invited her over etc.
She is till close friends to those early friends from Years 1 or 2 at school and these other two children I never hear about. I guessed the boy just was not that interested in her friendship but the girl, I found out, was upset by a stupid comment my dd had made once.
I never made a fuss about it and I was just thankful when those friends slipped into the 'history' category.
It is harder if they are all part of a group and so these girls may not become history if she is still friendly with others.
I'd really encourage your dd to make other friends, join things outside school too and to help her make more/better friends who will equally value her.