Quantum effects through the Fermi temperature and the Bohm potential on the Debye-Huckel shielding potential have been examined in a supercold quantum plasma. The Bohm potential due to collective interaction of the quantum plasma modifies the Debye length significantly under an appropriate condition. The relevance of our results in supercold dense plasmas, viz. the microelectronic systems, laser-produced plasmas, compact astrophysical objects, etc has been pointed out.