The kinetics of the localized, irreversible adsorption of interacting spheroidal particles on homogeneous interfaces was analyzed theoretically. By applying the random sequential adsorption (RSA) approach, numerical MC simulations were performed in the case of the short ranged Yukawa-type potential of interaction. Both the surface-blocking parameter (available surface function) and adsorption kinetics were determined for various particle elongations and for a broad range of the xa parameter characterizing the range of the interaction potential. It was demonstrated that the "exact" numerical results can well be described for not too high surface concentrations by the approximate analytical equations derived using the equivalent hard-particle concept. On the other hand, for higher surface concentrations close to jamming, adsorption kinetics of soft particles can well be approximated by the power-law dependence analogous to hard particles. The theoretical analysis revealed that adsorption kinetics of colloid particles of spheroidal shape is considerably diminished by the lateral electrostatic interactions.