A classical problem in manifold topology is to understand when two given embeddings are isotopic. The desire to understand when such isotopies are unique leads one to consider the space of embeddings between two smooth manifolds. Goodwillie and Weiss provide an approach by trying to study the values of embeddings in small neighborhoods of configurations of a manifold. We extend these methods to the setting of manifolds with an action by a finite group. In particular, we study the space of equivariant embeddings by scanning along an appropriate notion of $G$-disks. Leveraging the work of Bierstone in equivariant immersion theory, we show that the first approximation to equivariant embeddings is the space of equivariant immersions. Moreover, we show that the layers of our embedding tower can be analyzed as fibrations over a product of nonequivariant configuration spaces.