We study propagation of the Gaussian beam of spin waves and its reflection from the edge of thin yttriumiron-garnet film with in-plane magnetization perpendicular to this edge. We have performed micromagnetic simulations supported by analytical calculations to investigate the influence of the surface magnetic anisotropy present at the film edge on the reflection, especially in the context of the Goos-H¨anchen effect. We have shown the appearance of a negative lateral shift between reflected and incident spin wave beams’ spots. This shift is particularly sensitive to the surface magnetic anisotropy value and is a result of the Goos-H¨anchen shift which is sensitive to the magnitude of the anisotropy and of the bending of the spin wave beam.We have demonstrated that the demagnetizing field provided a graded increase of the refractive index for spin waves, which is responsible for the bending.