Because on one hand Heather is a spunky young lady with a fine appreciation for snark and close ties to Dale Cooper, while on the other hand she is also a rebellious punk-ass teenager with a smart mouth, a murdering complex, and no apparent demonstration of any intent to be a productive contributing member of society?

...with close ties to Dale Cooper.

Personally I'm betting on hate, but quite possibly in that "Sheriff Truman" way that eventually results in brohugs.