Apologising? When to draw the line
 

I'm in a fucked up relationship with this single mother. She's still married but doesn't see the hub anymore. Been seeing eachother about 3 months.
Had a great day with her yesterday then she invites me over tonight for dinner. I thought it was an informal kind of thing and was a bit late. Texted her and rang her to say I'd be late. Got there and she was pissed. Barely acknowledged me coming in. Wouldn't talk to me. Sat in a different room staring at the window. After a few mins of grovelling and apologising I said that me being there was only making her angrier so I'd leave. She didn't say a word. I left and drove off. Sent another apologetic message a few minutes later. Nothing. An hour later sitting n the car sent a message saying sorry again and did she want to meet. Nothing. Sitting in my bed now pulling my plum. Nothing.
I have a funny feeling that this could be the end of it.
Question is, how do you apologise to a woman?

15 mins then phoned to say would be a little bit later.. so about 25 mins all in

Texted her this evening just saying sorry again and that I feel terrible but that I felt she didn't want me there.
She sent back a huge text saying that I was trying to turn things back on her, ... that she says it's no big deal, but had a rant about how I run on my own clock and don't care about other people's time, disrespectful etc.

I think that's a bit much and I'm honestly thinking of cutting her loose.. but I have fear of not finding another hottie like her... 13 years younger than me, 8/10, great in bed. But has a kid and still technically married... I think she's a bit nuts

No text from her today. Im starting to get worried.
How do i pull it back from here... im having thoughts like buy her flowers to thoughts of playing it cool and waiting for her to break...
I really dont know how to fix this...

You're chasing this girl out of fear of being alone. You've known her only a short while.

Unless you've been habitually late and ignorant/thoughtless in your punctuality and reliability, she's treating you like crap and you are letting/enabling her over 1 understandable event.

You know there are other vaginas out there right?

Cut loose.
If 25mins late means causes this much grief imagine what the future would hold with someone like that.

You keep grovelling you'll set in motion that you accept that type of behaviour from her and actually reward it with attention and flowers.

Ignore her, if she gets in touch and asks why just say your a fun guy that wants to be surrounded by positive people and your not sure if she fits the bill. That way she will either cheer up or not call again.

Fuck that type of behaviour. Going off on one like that for being 15 minutes late & then sendin massive texts?

Cut her loose.

Update: I started to break contact with her as she just got weirder. Then all of a sudden a few days later she started ringing me saying how much she misses me and wants me. So I stupidly went and spent time with her again at the weekend. We just watched a lot of TV and I stayed over, we hit it about 3 times. Then we went to dinner. At the dinner, she starts being weird again. She drops into conversation about a crush at work and how she doesnt think she would have a chance with him. Then she starts saying that I am a waste that I should find someone to settle down with, and re-iterates a point she made weeks back about only wanting company but not a relationship.
I'm thinking I must be coming across as weak or something because it's looking like she isn't that interested or her interest comes and goes.
The thing is I've really fallen for her now.. wouldn't it be nice if two people could just share something and be honest about their feelings...

Unless she is telling you that you are wasting your time with her due to insecurity reasons walk away.

Nobody deserves to be called a waste. Go find some self respect and another girl