If you initiate a transaction, wait a few hours, and the transaction doesn't appear in block explorer, then the coins weren't sent. Placing a transaction in the public hash chain is essentially the definition of "sent" in this context.
Dude, terrible picture by the way. Not trying to be offensive; I just don't like looking at that face on my computer.
AdBlock+, right click, block image.
Anyways, stick on-topic.
PM's work amazingly.