Check this out "Confess your trespasses to one another, and pray for one another, that you may be healed. The effective, fervent prayer of a righteous man avails much". - James 5:16
When we pray for the sick or have a word of wisdom, or a word of knowledge about a persons condition, and then pray for them and they are healed, do you really think they won't want to hear about Jesus? If the lost find out that Jesus is the great physician, and can heal their body, do you really think they won't even be slightly interested? To me it is at least worth a try.
Today is our day! Make it count!....because it does.