Female competition?

One of the girls who is just out of school and new in the workforce was referred to as a girl a grand total of once in the op

These "girls" are 20 years old and new graduates. The OP's post reeks of her expecting that these "girls" should look up to her.

She uses "girl" twice so perhaps read the post before making snippy comments about not reading it and is going on about this woman being young enough to be her daughter, being so young.

It sounds like you have been targeted but the examples you give sound curious- why would a director take any notice of her? How has she got so much leverage over your experience?

she asked our director to check my work, didn’t stop until she got her way and then started screaming at me saying my work is bad quality, not up to standards but she herself has never done any work! How can she give a constructive criticism if she never constructed anything. And she loves criticising me!

If she's screaming weren't there other witnesses? I share Lass's scepticism

And also back in 2016 you posted you had a 2-year-old child
Something doesn't seem to add up.

Looks like some people didn't bother to read your post, OP.

One of the girls who is just out of school and new in the workforce was referred to as a girl a grand total of once in the op.

I was glad when more women entered the male dominated field I worked in too.
Sometimes it happens that we remind someone of a person the know and like and they treat us very well for that reason. Unfortunately we sometimes remind people of someone who made their life miserable and they treat us as though we are that person.
Short of asking the new person what her problem is with you or taking it to HR, I think it might be a good incentive for you to get a better job.

"I tried to mentor one"

It sounds that you tried to become her mentor because she is a girl. If she got the same impression I am unsurprised she reacted negatively. Firstly, if she felt she was being treated differently by you because she was female she was right to run a mile, especially if she got the sense that you saw her as a girl half your age.

It is also unclear what your status was in the organisation. If she could get a more senior mentor of course that makes sense for her.

As someone else has said, I would be interested in hearing her side of this because it is possible that the impression you gave wasn't the one that you wanted.

I would like to hear this "girl's" side of what is happening.

I find your fixation on her being a "girl" and being 20 years younger than you , you being old enough to be her mother a bit odd.

What does your anecdote about your mother and girls competing for boyfriends have to do with anything in your workplace now?

I work in a male dominated field and had my share of dealing with misogyny.

That is what you are still dealing with.
Document everything. You might ask personnel if they have any advice for you.
Some new people think they need to be as aggressively competitive as they imagine men to be in order to get ahead. Some people think they need to choose the person they want to be and drive them out so they can take that spot.
Others are just plain bizarre.

Try not calling her a girl.

She is crazy. As others have said, log it with HR. You might have tried to help her once but she has shown her colours so just forget that whole 'girls together' thing as she doesn't play that way. Ignore what you can, and keep an eye on protecting your projects from her ego just like you would any toxic colleague

Ignore her for the most part, don't try to be her friend or to mentor her, be civil when having to interact with her and try to do most of the communication in writing. If she starts talking about the quality of your work, say politely 'would you be able to put that in an email to me so that I have the full details'. Make a note of things she says to you but do not rise to it. You can use the emails to show HR.

Can't comment on this particular woman- some people are not nice people, whether male or female. Have no idea what her problem is but jealousy is not always the reason why people aren't nice to others. Don't be driven out by her- stand your ground.

You've been unfortunate with a terrible colleague.
This woman does not represent all females so don't fall into the thinking trap of "this is what women are like to work with" as it seems you are doing.

She just sounds simply awful which is unfortunate. Don't look for another job. Can you speak to a superior?

Before you quit, go to HR or your managers and explain there is a serious problem with her conduct.