I would say absolutely yes (but as others have hinted you might want to grab a set quick before it disappears tomorrow), it's a great starter. The board space required for the main scenario is only 18" square and it's an iconic moment from the book.
When I got back into the hobby 2 years ago all my gaming buddies had lost interest, all I had were a bunch of friends, most of whom liked LOTR, that had never tried nor been interested in wargaming before.
LOTR was perfect for getting them into it, I always start someone off with the Balin's Tomb scenario from the Fellowship journey book and then move onto Weathertop, Amon Hen, Lothlorien etc. New gamers love it as they recognise the characters from the film and enjoy recreating the scenes.
As others have said, give her the Fellowship, it's more fun to play with and just keep it light hearted and fun, I find it really helps to put the soundtrack on in the background too!
I've now got a group of about 7 friends, all of whom love playing the game but none of whom have ever been interested in wargaming or own their own figures. I've never been able to convert people to Warhammer (on which I've now completely given up) with anywhere near the success rate of LOTR.
Its a brilliant system, that's easy to learn but very tough to truly master with some great tactical depth - I hope she likes it!
P.S. I must confess, I've tried it on the wife but as of yet she's resisted, fingers crossed the Hobbit finally converts her!
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Finished 2nd in the 2014 GBHL. My Wife's so proud
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