Will LSE make me an offer?

I have finished year 13 but I will be resitting a few exams. I got BBB in maths, physics and biology. At AS I have a high A in maths and bio (270 ums) and have one mark off an A in physics. I also have a B in chemistry. In my GCSEs I got 5 A*, 7 A and 1 B grade. My new A2 predicted grades are A*A*A (A in physics)
I want to apply to accounting and finance at lse. I also have extenuating circumstances. In year 10 I missed 3 months of school, and in year 12 and 13 have missed 43% Of the year. This was due to severe illness after an operation. If I had extenuating circumstances in my teachers reference, what's the likelihood LSE will make me an offer? (LSE need AAA and only 11% acceptance rate)