"He had the camels kneel down near the well outside the town; it was toward evening, the time the women go out to draw water." NIV translation
When the servant got to town, he went to the well because it was time for the women to come and draw water for the evening. This reminds us that the will of God involves both position and timing. He could have arrived in the middle of the day and sat at the well for a long time or he could have went to another part of town and waited. Instead, he arrived at the right time and place and could be assured of God's prompt provision.
"Then he prayed, 'Lord, God of my master Abraham, make me successful today, and show kindness to my master Abraham. See, I am standing beside this spring, and the daughters of the townspeople are coming out to draw water. May it be that when I say to a young woman, "Please let down your jar that I may have a drink," and she says , "Drink, and I'll water your camels too" - let her be the one you have chosen for your servant Isaac. By this I will know that you have shown kindness to my master.'" NIV translation
The servant prayed to the Lord and was basically asking for discernment. Instead of trusting in his own thoughts and actions, he trusted in the Lord to work in the hearts and actions of the proper woman. We may not ask the same question but we can ask for the same type of discernment.
"Before he had finished praying, Rebekah came out with her jar on her shoulder. She was the daughter of Bethuel son of Milkah, who was the wife of Abraham's brother Nahor. The woman was very beautiful, a virgin; no man had ever slept with her. She went down to the spring, filled her jar and came up again." NIV translation
Even before Eliazer had finished his prayer, the Lord had already sent the answer. Once again, we see that being in the proper place at the right time resulted in God's prompt provision. We also see that, when God arranges a marriage and His people are willing to wait for His timing, He provides the best of brides (a beautiful virgin).
God gives us the freedom to go ahead and make our own selection but that choice will always be second best to His choice for us.