By assuming an aspherical stellar wind with an equatorial disk from a red giant , we investigate the production of Type Ia supernovae ( SNe Ia ) via symbiotic channel . We estimate that the Galactic birthrate of SNe Ia via symbiotic channel is between 1.03 \times 10 ^ { -3 } and 2.27 \times 10 ^ { -5 } yr ^ { -1 } , the delay time of SNe Ia has wide range from \sim 0.07 to 5 Gyr . The results are greatly affected by the outflow velocity and mass-loss rate of the equatorial disk . Using our model , we discuss the progenitors of SN 2002ic and SN 2006X .