All I Wanna Do is Make Love To You -Heart
And then haul ass out of there!
Good theory, though Anderson’s song is from 1991, so that would push it back to 1970 or so.
I’ll go with Coal Miner’s Daughter - something a country girl could relate to, and likely to still be on the jukebox two decades later.
Also, keep in mind that she’s friendly and fun-loving most of the time. So her favorite song probably isn’t about heartbreak or bitterness.
Ahhhhhhh! The OP is based on an actual song. O.K., I was out of the loop on that one.
Looking through the Thread now, it seems a few people actually knew that. In fact, AuntiePam got it in 3.
Listening to it now on YouTube. Kinda wish I wasn’t.
Feel free to put the heartbroke barfly in modern times. I did with my guesses.
On reflection, I think this chick is into serious cheese.
So it is either:
Escape (The Piña colada song) by Rupert Holmes
or
Summer Breeze by Seals and Crofts
or anything by Air Supply, Shaun Cassidy or Cheap Trick.
This would be consistent with the country music laws of jukebox time and causality laid down in the oft-covered truckin’ classic “Truck Drivin’ Man.” One of the major themes of this song is that the protaganist is going to put a (dime/nickle/quarter/dollar, depending on what decade it is) in the jukebox and play that “Truck Drivin’ Man,” despite being in the middle of recording it!
Well, if ye old barfly is all man-hatin’ when she drinks, or maybe it’s WHY she drinks, then she might turn around and get happy/dancey/schmoozable if she hears some good old Pat Benetar. Pick one, any one. Or a few. Hit Me With Your Best Shot; Heartbreaker; I Love Rock And Roll; Little Too Late; Love Is A Battlefield. Probably start with I Love Rock and Roll 
Oh, come on, it’s obviously “Our House” by Crosby Stills and Nash.
I Will Survive, by Gloria Gaynor. Once empowered, there’s no looking back. She’s heartbreaking every dude in sight. 
Total eclipse of the heart
Oh, good one.
For me this screams out for Son of a Preacher Man.
(Frankly it’d do it for me.)
Oddly enough, it’s Delta Dawn.
I thought she was more of a K-9 type of lady. And wants “A Double Shot of My Baby’s Love.”
Nick Lowe’s All Men are Liars
Neil Diamond Girl, You’ll be a Woman Soon. When you push K-13, make sure you pop your collar and give a little “gotcha ya” point and wink at the jukebox as you walk away.
The Urge Overkill cover also works if you’re in a downtown alley dive bar instead of a roadhouse dive.
Are you sure it wasn’t B-17?