If the address you intended to send it to was 16VjoCnqs438CyvcSSh6KGKLYMLZt7UDo9, then everything is fine, because that's where the money went.
Are you using the bitcoin-qt client? If so, then you won't see the transaction in your wallet until you have downloaded the entire blockchain. That could take a while.
I sent it to that address for sure, and it was the correct address; I double checked it in my receiving addresses section. I am using the bitcoin-qt client, and the blockchain's is for sure completely downloaded. The coins are just not in my wallet.
Being offline does not prevent you from receiving coins, however they will not show up in your wallet until your client has finished synchronising (ie, downloading transactions that occurred while it was offline). If your client has not finished synchronising (the current version will display
(out of sync) if this is the case) and it is missing recent transactions, this is almost certainly the cause. Note that this process will take several minutes depending on how long you've been offline (assuming it was already fully synchronised before you went offline, otherwise it will take much longer, even up to a few days if it was never previously synchronised), so if you're just opening the client to check your balance and then closing it immediately, that won't give it enough time. You must leave it open until it is finished.
I was trying to post a bitly link to the transaction on blockchain, ironically enough.
Please don't use URL shorteners. This forum isn't Twitter, there's nothing wrong with posting long URLs. URL shorteners are considered suspicious by the forum software since there's no way to know (short of actually clicking on them) where they lead.
Sorry, I just liked using bitly, it makes the post look shorter/neater/less like a looming wall of text