[Yes, I purposely misinterpreted the 'any ship' part of the prompt!]

Enterprise only ever wanted what she'd seen in others - companionship, love, protection - but they insisted it was impossible for her, a ship, an inanimate (or so they say) object to have a soul, let alone a soulmate.

Until her engineer came along, with his smile and his soft touches and his whispering endearments, and she knew that he truly loved her for what she was, rather than what she could never be.

Together they discovered that whatever a soul was, they were wrong about her lack of one; after all, if she didn't have a soul, she could never have a soulmate.

And yet she did.