With both options you will get the 10$ donation tag. The difference is that with the 'Direct' option you donate the money directly to Sythe. Before you can use these options you do need certain requirements though. The 'Bonded' option is to donate to Sythe through a bond holder (a member of Sythe). Bond holders can be found here in the stickies:
Digital Currency and Non-Game Sales
A fair question from your side could be why you even want to use a bond holder. The reason is because they offer you more payment methods beside just Bitcoins and Paypal and, as said before, the Direct option has some requirements before you can use that.