Does God care that I am anxious?
Yes - deeply. 1 Peter 5:7 says to cast all your care on Him, because He cares for you. God is not annoyed by your anxiety; He is moved by it.
Sometimes we picture God as disappointed in us for struggling. But look at how Jesus treated anxious people. When His friends were terrified in a storm, He didn't lecture them first - He spoke peace to the storm (Mark 4:39). When Martha was stressed and scattered, Jesus gently called her by name, twice - "Martha, Martha" - before He corrected anything (Luke 10:41).
That's the heart of God toward you. Not impatience. Tenderness. The Bible says the Lord is near to the brokenhearted (Psalm 34:18) - which means your anxious 2 AM moments are exactly where He draws closest, not where He checks out.