[quote=@Jables]
Im confused as to how im supposed to apply? Im new to this site. I sincerely apologize if i throw off the flow of your campaign. 
[/quote]

Firstly, this site has multiple tabs (note that I am mentioning you from a different page than the one you posted in - at the top it is designated OOC; you posted in the IC). Such a question is best set for the OOC.

In this case, you create a character with the below quoted format, and then post it in the OOC for the resident GM to review and accept if it's decent.

[quote=@Wick]
[hider=Character Sheet]
Name: 
Gender: 
Age:  
Position:
Birth Place: 
Weapons:
Bio:  
Personality: 
Skills: 
Fears: 
Other: 
Family:
[/hider]
[/quote]
And once the GM determines your submission is decent, you post it here:
http://www.roleplayerguild.com/topics/126568-the-walking-dead-from-the-beginning-accepting-new-players/char

If not, tough luck - have a go at it again.