Jamieson, Fausset and Brown on Hosea 13:10

10. I will be thy king; where--rather, as the Margin and the Septuagint, Syriac, Vulgate, "Where now is thy king?" [Maurer]. English Version is, however, favored both by the Hebrew, by the antithesis between Israel's self-chosen and perishing kings, and God, Israel's abiding King (compare Ho 3:4, 5).

where ... Give me a king--Where now is the king whom ye substituted in My stead? Neither Saul, whom the whole nation begged for, not contented with Me their true king (1Sa 8:5, 7, 19, 20; 10:19), nor Jeroboam, whom subsequently the ten tribes chose instead of the line of David My anointed, can save thee now. They had expected from their kings what is the prerogative of God alone, namely, the power of saving them.

judges--including all civil authorities under the king (compare Am 2:3).