10 minutes isn't really the drop of a hat. But why do you need your first confirmation in approximately the next 10 minutes so badly anyway, especially when it shows up in the mempool pretty much immediately? I paid around 20 cents on an approximately $200 transaction a couple weekends ago, it got verified after about 4 hours but I was expecting longer, it would have been fine. In the last 24 hours, 36,332 transactions were verified with at most 30 cents in fees. (https://bitcoinfees.earn.com/) The estimated time bounds for a transaction in that pool are 25 minutes to 14 hours.