Competition elimination

In addition to the very wise post above from Stiffy, I'd add that you can't eliminate the competition, as you have no idea who they are or what their credentials are. All you can do is work hard on all areas of your application and put your best foot forward. If that's not good enough for Oxford or Cambridge at that particular time, it's most likely their loss and another outstanding uni department's gain!
The process is holistic, in that it's not the case that everyone who gets an offer will have straight 9s or A*s at A Level, etc. A fun story for you: when I applied in 2006, I applied to the most oversubscribed Oxford college (Worcester) that year, and one of the most oversubscribed subjects at said college (music). There were about 13 people competing for each of the three places (the fourth place had already been assigned to the organ scholar candidate) - so 39 applicants interviewed. Unknown to me until I got there, I was directly up against the then-BBC Young Musician of the Year! Who was also the BBC Young Composer of the Year.
Guess who beat him?

Moral of the story: don't let the competition throw you. Just do your best and if it doesn't work out, you'll still succeed in life, just elsewhere!

That’s brilliant! What was it that made you more significant if you dm me asking?

Although I was less impressive, re: my grades and performance abilities, I was (later) told I was the best girl who interviewed, and that they were impressed by my written work too I didn't do anything special or fancy, I was just myself on the day - and that happened to be enough!