Summary: This paper presents a computational study of phase separation-phase ordering-texturing in blends of polymer coils and rod-like nematic liquid crystals under the presence of magnetic fields, using an extended version of the MatsuyamaEvans-Cates model (Phys. Rev. E 2000, 61, 2977. This work demonstrates that demixing in these blends leads to droplet morphologies with tunable droplet shapes and director textures. In contrast to filled nematics, where solids are suspended in a nematic liquid crystal matrix, demixing in coil-mesogenic rods blends leads to nematic emulsions, in which the deformable viscoelastic polymer drops are suspended in a nematic matrix. Under strong anchoring conditions, the imposition of a magnetic field leads to a director re-orientation that due to strong anchoring produces a droplet shape change. Magnetic field-induced shape transitions in these blends are shown to be second order with a finite critical field threshold that diverges as anchoring strength vanishes. A morphologicaltexture diagram summarizes the magnetic field-anchoring conditions that promote anisotropic shapes. This work presents additional material processing routes to design and control biphasic morphologies in polymer-liquid crystal blend.Computed morphology phase diagram in terms of magnetic field strength L M and anchoring strength. L fQ .