I think the Steve/Sharon thing is kinda weird too.
Also, genuine question: Is there anything remotely interesting about Sharon? The only time anyone mentions her it's about her being with Steve (and the grand niece/daughter/uncle/whatever thing that comes with it) and when I read TWS story arc, she was just kinda there to call the Captain out on his ********. Do people want the character because she's engaging and brings a great dynamic to Cap or do they want her just because she was in the comics?
Well, I'd call Sharon being respective of Cap and calling him out on his ******** a great dynamic.
But yeah, I think Sharon is fairly interesting. For one thing, she's a female legacy. A lot of female characters in traditionally male roles in fiction offer justifications such as 'I'm following in my father's footsteps' or 'I'm doing this because of this male figure in my life'
Sharon is one of a few characters that do what she do; ie becoming an elite SHIELD agent because of the influence her aunt has on her.
She's also a great foil for Steve, and Natasha, actually. She was initially very idealistic, due to the aformentioned influence of her French resistance war hero aunt, but she ultimately was soured by her experiences. She's still a good agent with morals, but she has a much bleaker outlook than before.
I think it was in the seventies that Sharon was killed off while on a mission. About twenty years later, Mark Waid brought her back by explaining that her death was faked by SHIELD so that she could go on a top secret mission.
The mission failed, and SHIELD abandoned Sharon behind enemy lines. Sharon spends the next few years working as a mercenary, doing "some things violent, other things degrading" in order to survive.
She eventually returns to Steve's life, and even though she fully believes both Cap and SHIELD betrayed her, she still comes through for them in the clutch.
It was around this time that she became director of SHIELD and a year or so.
If anyone really wants to read Sharon at her strongest as a character, I would suggest Mark Waid's run.