it teaches you to anticipate the consequences of your decisions
I'd change all of the "you" to "me," because in the end, the essay is about you.
He made his move,
No need for a comma at the end.
sitting in my desktop
Sitting
in your desktop? Maybe "on" is a bit better.
sweat,
No comma needed here either.
duquevanfalling in the depths of my chest, I knew that this was my chance.
Not really sure what the depths of your chest are. Make this a bit clear. I would add an "and" after the comma.
solitary lady,
Sorry if I'm an idiot - this is your queen right? Because you don't reveal chess until later, this might be a bit confusing. You don't have to change it though; I was just curious. However, I would take out the comma.
But I liked it! I liked how you kept it a mystery until the "Checkmate!"