Psalm 81:11, "But my people didn’t listen to my voice. Israel desired none of me," expresses deep sorrow and disappointment on the part of God. Let's break it down:

"But my people didn't listen to my voice": This refers to the Israelites repeatedly ignoring God's commandments, warnings, and guidance. God had spoken to them through prophets, laws, and direct interventions, yet they turned a deaf ear. It implies a deliberate choice to disobey and disregard God's will.

"Israel desired none of me": This is even more poignant. It goes beyond simple disobedience; it suggests a lack of genuine relationship and affection for God. "Desired" implies longing, craving, and valuing something. Israel showed no such longing for God. They didn't prioritize their relationship with Him or seek His presence. Their desires were focused elsewhere - likely on material possessions, worldly power, or foreign gods.

Together, the verse paints a picture of:

Rejection: God felt rejected by the very people He had chosen and delivered.
Unfaithfulness: Israel broke their covenant relationship with God.
Idolatry: Their lack of desire for God likely stemmed from a misplaced desire for other things, hinting at idolatry, both literal (worshiping false gods) and figurative (prioritizing other things above God).
Disappointment: God is expressing his sadness and grief over their choices.

In essence, this verse is a lament expressing God's heartbreak over His people's rejection of Him and His ways. It highlights the tragic consequences of choosing to ignore God's voice and pursuing desires that lead away from Him.

It's a reminder that a true relationship with God involves not just obedience, but also a genuine desire for Him and a willingness to listen to His voice.