“Over the House.” Obadiah was the palace administrator. The word “house” was often used in more contexts in the biblical culture than it is today. The “house” of God was the Temple, the “house” of the king was the palace, and so the “household” was the palace and all the goings on there. “Over the House” was most likely a title for the person who was the palace administrator, like being the Chief of Staff in the White House today.
“Obadiah feared Yahweh greatly.” The great reverence that Obadiah had for Yahweh is that he hid the prophets of Yahweh and sustained them at the risk of his life. Had he been discovered he would have certainly been executed.