Okay, J'Adore, here's my take on this:
On the one hand, you're a good enough player that you would be able to pull off Sharon Carter quite nicely, and the app itself is good. And technically, there's nothing in the rules that would allow us to deny it. Plus, HAMMER has been pretty under-represented in this game, and I'd love to see them step into the forefront, maybe do some spy vs spy stuff with Fury and SHIELD.
On the other hand, Eddie does bring up a very big sticking point: with the exception of Jocasta, you're not exactly known for sticking with your characters. And given that Director 13 is a pretty important character in the game, I'm a little hesitant to give the nod to someone who may very well drop her after just a handful of posts. We've already got too many characters who are just sort of left in limbo after being picked up and then set adrift when the player gets another idea.
So here's my ruling: Yes, you are APPROVED for Sharon Carter, but on a probationary period. The character is yours, as long as you are able to consistently post with her (say, once a week). We'll relax on this once you've shown that you're back for the long haul. Sound fair?