Was it inappropriate for a mom to wear a string bikini at her son's birthday party?

My son was invited to a pool party for his 10 year old friend's birthday. The birthday boy's single mom wore a string bikini, not just when in the pool leading pool games, but also serving cake, leading games outside of the pool and when her son was opening presents. No other parent wore a swimsuit. I overheard some of the moms saying she was showing off to the dads, but she looked very busy to me organizing games and greeting the attendees.
Not at all, would be ok even if she was not busy.
No, because she was busy
A bit inappropriate, she should have worn a cover up
Yes, she sould have worn something more modest or a one piece
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Was it inappropriate for a mom to wear a string bikini at her son's birthday party?
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