Understanding is improving, but it is very slow
Over 20 years ago this was the norm, unless your child was markedly different to their peers in a negative or aggressive way and/or very disruptive and/or couldn't keep up with their peers in class, you were fobbed off by all and sundry for years, sometimes even after your unsupported child fell apart.
Unfortunately, this attitude still prevails.
When I first looked at MN's SN boards, I thought it would be great to see how things had progressed after the dreadful experiences my family had been through for so many years, but I was saddened to find that in a lot of cases, no progress has been made at all with regard to children being recognised as different enough to be being put on the diagnostic pathway.
It's still ongoing, parents are still fobbed off and given ridiculous reasons by professionals as to why they will not grant access to or support an application for that child to access the pathway to a diagnosis. SENCOS and teachers tell parents their child does not have autism yet they are not qualified to do so.
Yet NONE of those reasons form any part of the diagnostics for autism, because not all autistic people exhibit all of these behaviours.
Cannot be autistic because they
Can maintain eye contact
Show empathy
Can do same classroom work as their peers
All autistics love maths and science but they don't
Have mental health problems, (anxiety) and need to be more resilient
Will grow out of it
Show no outward signs so it could only ever be "mild" because no-one would ever know
Parents are mollycoddling that's why there are signs of immaturity
Parents are helicoptering
Parents are pandering
There are loads more myths and excuses 
Diagnoses for children are only given after exhaustive scored tests and observations usually by a multi-disciplinary team often after a very long wait, it can take several years in some cases.
I have no idea why anyone would want to disparage a medical diagnosis, but there's so much prejudice around autism that people who don't know what it's like to live with give it the term "label" as though it's something so insignificant that someone could peel it off and discard it and its symptoms at will.
I look forward to the day when there is much more understanding of autism, but it's not going to happen in the short term. Lots of comments on this thread reflect that.
Anyone who has been in a similar situation to the OP and seen their child denied help and support year after year after year can understand her feelings. 