God is not indifferent
Scripture speaks honestly about God's sorrow. Before the flood, human violence and wickedness brought grief to his heart (Genesis 6:6). During Israel's troubled years in Judges, God saw their misery and was grieved by it (Judges 10:16). These passages do not picture a detached deity watching pain from far away.
God's grief is not weakness. He is holy, faithful, and just, yet sin matters to him because people matter to him. When we hurt one another, reject what is good, or suffer under the weight of a broken world, God does not treat it as a small thing.
And it repented the Lord that he had made man on the earth, and it grieved him at his heart.
Jesus gives us the clearest picture
Jesus stood outside the tomb of his friend Lazarus and wept (John 11:35). He knew Lazarus would soon be raised, but that knowledge did not make the sisters' grief meaningless. Jesus entered their sorrow. He was deeply troubled by death and by the tears around him (John 11:33).
Later, as Jesus approached Jerusalem, he wept over the city because its people did not recognise the peace God was offering them (Luke 19:41-42). His tears held both love and sorrow. He wanted their good, even as many turned away from him.
Jesus wept.
What Jesus' tears tell us about God
Christians believe Jesus is not merely a compassionate teacher. He is the visible revelation of the unseen God (Colossians 1:15). So when Jesus weeps, we see something true about God's heart: he draws near to suffering people. He is not pleased by death, cruelty, or the wreckage sin causes.
The Bible also says that God's Holy Spirit can be grieved by the way believers live (Ephesians 4:30). God is personal. Our choices are not invisible to him, and neither are our wounds. His compassion is real, even when his purposes are bigger than we can presently see.
And when he was come near, he beheld the city, and wept over it,
You can bring your tears to him
If you are asking because you are grieving, you do not need to hide that grief from God. The Psalms repeatedly bring fear, confusion, anger, and tears into prayer. David trusted that God noticed every tear he cried while under pressure from his enemies (Psalm 56:8).
God may not answer every question about suffering straight away. Still, Jesus' tears show that he meets people in sorrow rather than shaming them for it. Talk to him plainly. Read the accounts of Lazarus and Jerusalem for yourself, and let their honesty give you permission to be honest too.