Mary brought the problem to Jesus first. God is not moved by need, but by faith - He knows the need (and already has a solution) before you even ask. (Matthew 6:8, 6:32, Luke 12:30) Why didn’t Jesus immediately get up and make wine after verse 3? Why the odd answer in verse 4, that seems to indicate that any action was not yet warranted?
John 2:3-5 (KJV)
3 And when they wanted wine, the mother of Jesus saith unto him, They have no wine.
4 Jesus saith unto her, Woman, what have I to do with thee? mine hour is not yet come.
5 His mother saith unto the servants, Whatsoever he saith unto you, do it.
Look at Jesus’ response when Mary confidently tells the servants to follow his words. What words? He hasn’t said anything, and based on the response in verse 4, it seems that he might not do or say anything relevant to the situation. But when Mary releases her faith, trusting that he was the solution, Jesus immediately goes to work and supplies more than enough of the very best wine. (Matthew 17:20, Mark 11:22-24, Luke 17:5-6, James 1:5-8, Hebrews 11:1 & 6)
See similar situations where unbelief at first hinders the miracle in Mark 9 - father and the possessed child, and the Syrophoenician mother - Mark 7. The interaction between the disciples and Jesus at the two crowd feedings might be worth considering as well.
“But when Mary releases her faith, trusting that he was the solution...”
Her faith is exactly the same before and after. There was no change in tune.
3 When the wine ran out, the mother of Jesus said to him, “They have no wine.”
Is the exact same “tune” as:
5 His mother said to the servants, “Do whatever he tells you.”