B

Step 1: Understand that Gauss's law states that the electric flux through a closed surface is proportional to the charge enclosed by that surface.
Step 2: Consider the nature of an electric dipole, which consists of two equal and opposite charges separated by a distance.
Step 3: Recognize that the electric field produced by a dipole does not exhibit spherical symmetry; instead, it has a more complex distribution that varies with direction.
Step 4: A spherical Gaussian surface will have uniform charge distribution and will not effectively capture the varying electric field around the dipole.
Therefore, the use of a spherical Gaussian surface is not convenient for finding the electric field due to an electric dipole because this problem does not have spherical symmetry.