"'Not so, my lord,' Hannah replied, 'I am a woman who is deeply troubled. I have not been drinking wine or beer; I was pouring out my soul to the Lord. Do not take your servant for a wicked woman; I have been praying here out of my great anguish and grief.'" NIV translation
Hannah was quick to correct Eli and explain that she was not drunk but was, in fact pouring out her heart to God. It is sad to think that Eli was more used to seeing drunks than people praying in the House of God. We should ask ourselves whether our houses of worship are known more for prayer or dens of sin.
"Eli answered, 'Go in peace, and may the God of Israel grant you what you have asked of him.'" NIV translation
At least Eli acknowledged that he was wrong in jumping to conclusions.
We too, should learn that jumping to conclusions about others is judging them which is the place of God.
He even asked God to grant her request.
"She said, 'May your servant find favor in your eyes.' Then she went her way and ate something, and her face was no longer downcast." NIV translation
Hannah demonstrates her faith in the fact that, after she prayed, she no longer was sad. She simply believed that God heard and answered her prayers. If we have that same faith, then, we too do not have to walk around all sad. We can take our concerns to God knowing that He hears and answers.
"Early the next morning they arose and worshiped before the Lord and then went back to their home at Ramah. Elkanah made love to his wife Hannah, and the Lord remembered her. So in the course of time Hannah became pregnant and gave birth to a son. She named him Samuel, saying, 'Because I asked the Lord for him.'" NIV translation
Hannah's cries to God were answered and she gave birth to Samuel (Shemu'el in Hebrew) which means heard by God. We are reminded by this that God always rewards a display of faith.