We report on the first evidence for a non-zero rapidity-odd directed flow (nu(1)) for D-0 and (D-0) over bar mesons in 10-80% centrality Au+Au collisions at root S-NN = 200 GeV measured with the STAR detector at RHIC. The slope of the v1 rapidity dependence (d nu(1)/dy) averaged over D-0 and (D-0) over bar mesons is -0.081 +/- 0.021 +/- 0.017, while that of charged kaons is -0.0030 +/- 0.0001 +/- 0.0002, suggesting significantly larger slope for the D-0 mesons. Models indicate that the large d nu(1)/dy of D-0 mesons is sensitive to the initially tilted source. We also present a new measurement of the D-0 meson elliptic flow (v(2)) as a function of transverse momentum (P-T) in Au+Au collisions at root S-NN = 200 GeV with an improved precision with respect to the previously published results. The D-0 nu(2) results are compared to those of light-flavor hadrons to test the number-of-constituent-quark (NCQ) scaling. Both the nu(1) and nu(2) results are compared to recent hydrodynamic and transport model calculations.