The local practice of 1 Corinthians 11

Is wearing a head covering in prayer/daily life (based on 1 Corinthians 11) for Lutheran women a personal choice?

Yes. God, through the apostle Paul, makes it clear that the practice of women’s head coverings was a local practice in Corinth and not a part of God’s will for all women of all time (1 Corinthians 11:16).