Detailed measurements of the in-plane resistivity were performed in a high-quality Ba(hbox {Fe}_{1-x}hbox {Co}_{{x}})_2hbox {As}_2 (x=0.065) single crystal, in magnetic fields up to 9 T and with different orientations theta relative to the crystal c axis. A significant rho (T)_{H,theta } rounding is observed just above the superconducting critical temperature T_c due to Cooper pairs created by superconducting fluctuations. These data are analyzed in terms of a generalization of the Aslamazov-Larkin approach, that extends its applicability to high reduced-temperatures and magnetic fields. This method allows us to carry out a criterion-independent determination of the angular dependence of the upper critical field, H_{c2}(theta ). In spite of the relatively small anisotropy of this compound, it is found that H_{c2}(theta ) presents a significant deviation from the single-band 3D anisotropic Ginzburg-Landau (3D-aGL) approach, particularly for large theta (typically above sim 60^o). These results are interpreted in terms of the multiband nature of these materials, in contrast with other proposals for similar H_{c2}(theta ) anomalies. Our results are also consistent with an effective anisotropy factor almost temperature independent near T_c, a result that differs from the ones obtained by using a single-band model.