The worst part is I send this with a $0.06 fee. You think it would receive some kind of priority.
That would depend on the specifics of the transaction.
If the transaction is larger than 1 kilobyte, then most miners (and mining pools) won't assign it any higher priority than a transaction that pays no transaction fee at all. Most miners (and mining pools) treat anything less than 0.0001 BTC per kilobye as equivalent to no fee at all.
If the transaction is smaller than 1 kilobyte, then it will be prioritized, but higher paying transactions will have higher priority. Additionally, it is entirely possible that your transaction was included in the very next block, but that it took 30 minutes to an hour for the next block to be solved.