It is the nature of man to seek signs and to worship relics and objects..
It is the Nature of God to use Relics as a conduit of His Grace @ King, 8-14; The Mantle of Elijah
Exodus 7, 10 The Rod of Aaaron
Matt 9, 20-21 Matt 14-36 The hem of the Lord's garment
Acts 19,12
Acts 5, 15,16
I guess if God is ok with His Graces flowing through THOSE relics, we can conclude He is allright with the Shroud Of Turin despite your opposition