This could be the ''Lilith's Brood'' or ''Xenogenesis'' trilogy by Octavia Butler.
In the first part, ''Dawn'', the protagonist awakes on an alien space ship, after a nuclear war has devastated the Earth.
The aliens, the Oankali, open doors and shape furniture from the fabric of the ship by touching them. The mechanism is actually chemical, essentially using pheromones to interact with the living matter of the ship. Later in the novel, Lilith is granted the ability to secrete those same pheromones, and thus control her environment, while she awakens other humans to repopulate the Earth.
The Oankali are roughly human shaped, but sense the world through tentacles, so their "face" resembles a mass of writhing snakes.
A single-volume of the trilogy published in 1989 had this cover depicting Lilith and an Oankali, which could meet your description:
