as a photography teacher* I can add this:
general light positioning:
-depending how you place your light you can accent texture with 'sidelight' as opposed to flat/direct light wich will wash out all the details
(or make you buddy/spouse/child or familymember look er... flatter and less appetizing, but it is good for book reproductions)
-you can also diffuse or soften your light: more diffuse lights will show less details or less harsh shadows,
harder lights give more contrasts (sunlight on a bright day or the light of sunrise falling through a window)
softboxes or (not a native English speaker) waxpaper? do this
-you can brighten up your 'shadow side' by using a white reflective surface on the shadowside (closer or further)
depending how you move around with this surface you can 'flatten' the texture
so in short: place your light more sideways 'along' the texture you want to accentuate and you can play a bit with the harshness of the light, if you're using a led look up examples of soft box light (softening), reflection on a piece of white cardboard or other bright white reflective surfaces (you can add more detail to the shadow at the risk of flattening your subject), silver reflection umbrella's (hard light and shadows, more contrast), or snoots (hard shadows, very small bright spot) the same applies to colored leds.
your question to make it reflect less:
-it may look worse but your light source should be closer to your smartphone lens (and illuminate you subject), this will flatten your subject and 'hide' the satin effect, you can play a bit around to see how much texture you want to keep alternatively you can reflect your light a bit from the shadow side
*i have a masters degree in photography, but didn't finish my teachers studies