Thank you for posting; it does take a lot of courage to put oneself out there.
My advice would be to stop worrying or comparing yourself to others, particularly a musician who is of an entirely different caliber.
Your teacher is clearly an accomplished musician, who has studied for perhaps most of his life.
You are still learning, and so, must accept this; please do this before you go any further.
I will give you some comment on your video, please excuse my obsessions with the details, but believe me when I say it makes a difference; even the minor ones.
Feedback:
Your sheet-music is crumpled. The score is precious; you must respect it. Before you play a note, you have to read it, and, if like yours, it is a crumpled mess, your reading will be effected. This is immediately telling of any student, who does not use the music and so has allowed to get into this condition.
You are not paying any attention to your time. Are you counting? It gets a lot easier if you put the notes down at the right time. If you have to go at a crawl, so be it; at least the foundation will be solid.
There is very little attention to the detail; this is Mozart. He was all about the details; this was written during a time when musicians had a very thin margin for creativity, and so used every faucet of what they had, because it was limited. If Brahms used a wide brush and an assortment of colour, by contrast, Mozart had a super thin one with a very limited colour pallet. Not to say contrast was not there, but it was much more refined and very, very, precise; he did not use dynamics wastfully, his forte was saved for those moments when his music needed it. Brahms would use forte, and more importantly, gradient, because he could and it was at that point a standard concept.
Think by comparison to the confines of, Super Mario Bros, in comparison to its various remakes (
https://c1.staticflickr.com/3/2030/1589360805_21e4f009ae.jpg). Essentially they are the same game, but due to breakthroughs in technology, one has substantially more tools to ‘play with’, resulting in a somewhat different experience.
The problems you have encountered in this piece are because you are not listening to what you are playing; I will say it again, you are not listening, or rather, listening fully. Forgive my bluntness, but there is so much you are not hearing that needs to be worked on in isolation. Most importantly is your ability to keep time consistent and constant.
Your weaknesses in left-hand coordination is due to your insufficient knowledge of scales and arpeggios. This is Viennese classical music; the entire school of thought is built on scales and arpeggios, to neglect them would be a dire mistake on your part.
Do not see this as an attack on you, but a criticism of the music you are making. You clearly have the spirit and drive, but what is lacking is your discipline and patience; slow yourself down and it will begin to work for you.
Sight-reading is not a separate part of music making; in classical music making, it is the point: "Recreating the music of others with precision by means of sheet-music". Work on your ability to look at the page, and you will improve dramatically, even by the default: “you actually see what you have to do with it.”
Please post more, I am interested in your progress.