You will be able to choose your path with the Succubus Goddess. Leaning into submission and finding a workable relationship is one such path. Seeking freedom is another possible goal instead.
See the dom-sub chart above on the itch IO page: Generally, characters are presented with their "place" on the spectrum, and it's up2u who you want to engage in optional H-scenes/romance with.
(These are not tight bins, just averages of what to expect if you romance said character.)
I also recommend checking out From the Sin cross-linked here above. The grand remaster of that game goes public this coming Saturday and if you like this game, that game has similar themes as well.
You will see a similar chart there as well. (It's a sister game to SK.) The biggest difference is that the MC in SK is extraverted, whereas the MC in FtS is introverted.