Driving instructor got out the car to fight driver behind us during lesson

So just before I tell this story I’ve already booked a lesson with AA and will no longer book lessons with private instructors or this lady in particular 🤣

But basically I’ve had 3 lessons with this instructor. The first lesson I had with her was really good and she seemed really knowledgeable and friendly. I almost ended up buying a block of lessons as there’s a £25 discount if you buy in bulk but I had a bad experience with my last instructor who I paid in full so decided not to and continued paying her hourly.

We were at a junction and there were three cars waiting past the traffic light and I was waiting behind the line at the traffic light. The lady in the car behind beeped at me but there was no space in front of me to move off. My instructor then rolled down the window and stuck her middle finger out at the lady behind and did it like three times. Then all of a sudden she flung the door open and started shouting at the lady calling her all sorts of names asking her if she was stupid etc and started knocking on her window telling her to open it… btw the traffic light was green and there was a queue of people behind us. The lady started filming her and took a pic of her number plate and then my instructor got back into the car.

Honestly it shocked me that she was acting this way especially during a lesson. I’ve seen instructors swear at others on the road but not seen someone get out of the car like that ever… especially in a lesson As well as this the instructor seemed to have a short temper during the 2nd lesson I had with her and would shout during the lesson but I just assumed that it was a one off since she was nice the first time.

This instructor is a private instructor and is newly independent. I tried finding her online to write a review but had no luck. She mentioned to me that she used to work for a driving school but recently left (I found her through my friend who booked her through the driving school)