The WTA has just about nada to do with any of this. First of all, she says she has a 'WTA health insurance' but there is no such thing. Most likely she has an AETNA insurance, which is endorsed by the WTA and offered to WTA players at a discounted rate.
That's a news report, not a court document. "AETNA insurance" is an insider jargon that is meaningless to the lay reader. The only entity known is WTA - ergo WTA insurance it is (just like in America they have Obamacare even tho the word "Obama" is nowhere to be found on any insurance card or any other actual healthcare paperwork.
Second, according to both reports she was at the NHS hospital for 12 hours before she was operated on. That means one of two things; she either got there in due time and it was not an emergency-emergency situation, or the hospital was really super bad (in which case she should be suing the hospital, which she's not). Third, the thing she is bitching about is that nobody told her she could have gone to a different hospital (which she theorises would have ensured her better care) and that's really just another way of saying she didn't have an effing clue how her insurance worked. (Hint: call the number on your insurance card, wait for instructions). And it's not that I dislike her or anything… but it just seems so farfetched to blame the WTA for her own ignorance and/or the incompetence of her team.
Except that she was taken by an ambulance ordered by a doctor at the tournament or hotel wherever it was. That's an emergency in my book. Once the ambulance was called - they seemingly made an emergency decision
to drive her to the nearest hospital. They made it an emergency, not she. The fact that she then
had to wait long before actual operations is another issue: they pre treated her before the operation in order so that she could wait longer, i.e. they used medical tricks to delay the operation. Again that's their decision not hers.
Of course alternatively this doesn't have to end up in courts (WTA can cough up a few coins in an out of court settlement).