She already used her power once to keep them together in the draft, she's the top women's star for the foreseeable future (unless Becky comes back), and she's the daughter of a legend both Vince and Hunter have a soft spot for.
So yeah, I do think she has top star level pull. No I don't think she has a seat on the Board of Directors, but I would think she could convince people in WWE it's probably not in their best interest to keep jerking her fiance around.