Why don't you just find a guild. I don't get why people put themselves through this torture and end up doing 6 hour Naxx runs with 25 people who have no clue what day it is and then they complain about sticking to a schedule or finding a guild, when a guild will clear all of T7 in like 2 hours flat, not just Naxx. It boggles my mind why people do this, I would literally quit the game if I had to pug to raid.
And here is also the issue. It looks like you're a new player that hasn't done any research. Your character has massive red flags, things you can fix yourself.
1. It appears you're a combat rogue, using slow weapons in the offhand is a big no-no due to the combat potency talent. This is combat Rogue basics, you need a fast offhand. As soon as I see that weapon in the offhand I think you're going to be a problem in the raid. If you want a suitable easy to get offhand weapon, Librarians Paper-Cutter.
2. I'm assuming no gems/enchants. You need enchants on all items, at least premium TBC ones or budget WOTLK ones and WOTLK blue quality gems, 16 hit gems are cheap.
3. Helmet with a meta socket, you lack one and you need one.
4. Quite frankly I'd expect you have farmed more dungeons, picked up more BOE's, more rep exalted items.
This is what I expect from you if I'm inviting you to a Naxx raid, all of this is doable without touching any raids by questing, crafting and doing dungeons.
Gear Link
Talents
Depending on your professions you can get further optimisations easily. If you're not at least close to this you're asking to be carried. None of this is expensive or the best available, just the bare minimum effort.