Jenny is in my top 3 list of Investigators to hand people to get them hooked on Arkham.
Jenny has a ton going for her. Firstly, her theme is awesome: there is a reason she is the 'face' of the Arkham Files universe: she isn't some rich snob, she isn't some femme fatal, she is a woman out to Do What It Takes and is fairly open about it.
Secondly, she has a clear gimmick and playstyle (Use money to replace a power) that isn't too complicated (if you just hand her the classic Jenny "pump to win" combo of Physical Training and Streetwise). Is Jenny ever going to be the most efficient at a task? No. Is a player ever going to flounder to figure out how to get out of a situation or contribute to the team as Jenny? Also no. She is, in many ways, a perfect flex, because once you upgrade Streetwise (Ideally ignoring taboos for your first game and just conveniently leaving elusive in the binder) she can from turn 1 handle basically any issue sufficiently, meaning your entire table (which may also include 2 other scared newbies) has someone who at the very least can keep the baddies exhausted if the first mythos flop womps ya.
Thirdly, and more importantly, Jenny just instantly creates stories at the table if you hand a newbie a beginner deck filled with evocative cards. Is Enchanted Blade the strongest use of your off class card pool? Haha, no. Are people instantly going to be invested in the campaign and Jenny as a character (and likely anyone else in the location with her) after she cuts a Ghoul's head off using it, standing there fencing monsters to death with a magical god damn sword while wearing a dress with pearls... and Track Shoes while Chain Smoking? The picture just paints itself, and the fact you get to punctuate it with 'and then you draw a card' is just pure icing on the cake that makes the player think 'Wow, I feel awesome' juuuust in time for the Ghoul Priest to show up and make everyone wonder how the heck they are going to do 20 damage to him, especially because her sword ran out...
And then, of course, Jenny often is the best gator to either evade tank the priest to save the day, or run over to pick up a new friend.
Pretty much every Jenny game of The Gathering goes the same way if you make a beginner friendly deck, with a built in three act structure to really get your hooks into them, and once you go on longer campaigns Jenny's access to Streetwise alone means she always has a way to contribute, and is almost never helpless or forced to be passive. She may not be the star of every scenario, but she often will get the chance to shine more often than not, and she never is the punching bag of one.
So even though Jenny is never going to be the wild gamebreaker like some of the other rogues, she is still a super worthy addition to the game, because you can toss her into pretty much any campaign and know the person playing them is gunna have a good time. She is supremely newbie friendly even on standard and lets people hit the ground running feeling awesome but not overpowered or overcomplicated.