Not enough flesh on index finger?

Hello,

I am a newbie and I have been having a lot of problems with my index finger muting the strings underneath it and causing the fretted string to buzz. I did a quick search online and noticed that it seems like I do not have enough flesh on the tip of my index finger to fret without the nail hitting the board.

What I do is I try to form a square with my fingers, so the fretboard is the 'bottom line of the square' and my index finger becomes like an 'n' figure. But my nail will never let me fret the string hard enough in that position, causing the fretted string to either buzz or be muted. If I try to press it harder, I will have to use more flesh from my index finger, which causes me to actually shift my index finger to be more parallel to the fretboard. That causes the strings under my index finger to be muted or buzz.

I have been practicing just 3 different chords for almost 2 weeks now. I don't do hardcore training like a couple of hours a day, but rather several minutes a day trying to get my fingers to harden and also to be consistent. But 3 chords for 2 weeks and still unable to have it sound right does sound kind of wrong to me. The chords I played were A minor, E Major and the C chord.

Please, if anyone is able to help me out, I will really appreciate it.

Index Finger. I drew lines to show that the tip is at the same level as the nail.
<img class="go2wpf-bbcode" src=" ">

Middle Finger. I show my middle finger as comparison. If you see from the lines, there's more flesh above the nail. Not as much as I'd like it to have, so sometimes the strings buzz or mute too.
<img class="go2wpf-bbcode" src=" ">

Index Finger Nail Length. Some people may think it's because my nails are too long. But as you can see from the picture, any shorter my nail goes, my finger will start to hurt.
<img class="go2wpf-bbcode" src=" ">