Friends persistent lateness

[Gigis]

Love my friend very much and have known her since I was little, so please no suggestions of cutting friendship.

But. She is always very late whenever we arrange to meet. I am currently waiting for her to come to mine and she is 45 minutes late, no text or anything. It's not too much of an issue today as I'm indoors all day with the baby, but in the past has caused some embarrassment e.g. I was sitting alone at a restaurant for 50 minutes fervently telling waiters that I would be ordering food just as soon as she got here.

The trouble is she suffers anxiety and depression so I can't think of the best way to bring up with her that if she's going to be so late every time a bit of notice would be appreciated without sending her into a spiral of self doubt, as any criticism is likely to do. Of course I can just adjust my timings but the trouble is her lateness is anywhere in the range of 20 minutes to 1 hour+ and I never know just how late she's going to be.
Aibu? Should I accept this is a part of her and her illness?

@allthat thank you for posting your experience, it's so similar to what she said. She also said that sometimes she just loses the time and starts a job at, say, 12 and then thinks it's been 5 minutes but actually when she checks it's 12.30. Didn't give an excuse for the not texting but understands that I need to know in future.

To those questioning her anxiety, she does genuinely have it. A lot of her anxiety is based around social situations (talking on the phone, thinking people are laughing at her, thinking people are mocking her behind her back etc), not travel. I'm really proud of her going tea selling alone where she'll have to navigate other cultures on her own. It's a huge step for her.

Tea selling alone?! Going travelling alone!

Maybe just tell her, that if she is late you are waiting 15 minutes, then you will leave, or cancel once she is say 10 mins late.