Disclaimer: my wife is a pilot also and flies like a freaking machine. (Though I'll never admit this in person) She is a far better sick-and-rudder pilot than I am--just unbelievably instinctive.
At a former employer, the airline formerly known as Express Airlines I, there was a female SF3 FO--she'd been in the right seat a little over two years before going to upgrade (an admittedly quick-and-dirty process). Busted her type ride. Retrained, rechecked--another bust. Here is where you and I would be sitting in the right seat for another year if not terminated. She was given the first and only (that I know of since 1995) THIRD type ride. Ths time the union, the feds watched, with the CP while another check airman rode right seat--that's 6 people in the sim! Another pink (I would have too with that many people breathing down my neck). Sent back for right seat retraining, something went wrong there too and the feds pulled her instrument rating for a 709.
The company then decided to pick up the cost of her retraining IN THE SF3 SIM!!!! to prepare her for her 709 ride. A few months later (when Johnny McFed could get around to doing it) she passed the 709, then passed her 441 for the right seat and nine months later got her type (contractual limitations of waiting a year). After the seat-lock transitioned to the RJ and passed on the first go. From everyone I've heard, a wonderful person and a good pilot.
However, during this time new-hires were being cut loose for needing an extra sim session--often these were unpaid, PFT-ing newhires. The VP FltOps thought that extra sim sessions cost too much (but explain the money lost in throwing away someone who only needs a few hours more until the checkride--especially coming straight out of a PA44 heavy?)
I have seen both sides of it with my wife--the easy hiring is often countered by a check airman determined to make you pay/earn your dues/see you never make it to a major/put you in your place/etc. I flew with a retired field grade (female) AF officer who had "troubles" as an FO and in CA training--how do you get command wings when you can't plan your own descent profile from FL290 150 miles out in an RJ?
But if you think you get pi$$ed about "bad women pilots" being promoted beyond their ability, bring it up with a chick who actually CAN fly--and has to prove herself to the rest of her her whole career because of them.