In a smaller saucepan, melt the butter over low heat. Remove the pot off the heat; whisk in the flour until smooth. Return to the heat and pour in 1/4 cup of the milk first, stirring quickly to combine until smooth. Add in another 1/4 cup of milk, again stirring quickly until smooth. Slowly begin to pour in the remaining milk half a cup at a time while stirring continuously, until all of the milk is in. Keep stirring until the sauce begins to thicken. Mix the white wine through the sauce and continue to stir over low heat. If sauce becomes to thick, add in a little more milk at a time (about 1/8 of a cup), until reaching your desired consistency. We like ours thick and creamy.