  Let $N$ be a connected finite type nonorientable surface with or without
boundary components and punctures. We prove that the graph of nonseparating
curves of $N$ is connected and Gromov hyperbolic with a constant which does not
depend on the topological type of the surface by using the bicorn curves
introduced by Przytycki and Sisto. The proof is based on the argument by
Rasmussen on the uniform hyperbolicity of graphs of nonseparating curves for
finite type orientable surfaces.
