The phrase "aggressively asking" is correct and usable in written English.
It can be used to describe someone who is persistently or forcefully requesting something, often in a confrontational manner.
Example: "Despite the objections, she continued aggressively asking for the information she believed she was entitled to."
Alternatives: "forcefully requesting" or "insistently inquiring".
Jeremy Paxman aggressively asking a stuttering minister why, shockingly, three-quarters of us have never sought to attain enlightenment.
Last year, we supported the I.R.S. in aggressively asking Tea Party groups seeking this special tax status to prove that they were not political activists.
Pressure has been mounting on both companies for months, with each aggressively asking viewers to pick a side - theirs - in television, newspaper and Web ads.
Yet the justices also questioned the state's lawyer aggressively, asking what was to stop Mr. Pfeiffer from unilaterally changing city policies, like zoning, that had nothing to do with finance.
One of them attacked me aggressively, asking, "Does it mean that you can conceive of Intel without being in the memory business?" I swallowed hard and said, 'yes, I guess I can.' All hell broke loose.
Initially, Wayne tried to flirt aggressively, asking her to send him a picture and talk about sex, and she was cold to him in response.
Movements always aggressively ask of the uncommitted the question: are you for us or against us?
"We aggressively asked to have a person in the room and we were denied," Ms. Genelius said.
It began building a statue of Newton, and Coach Gene Chizik aggressively asked an N.C.A.A. official at SEC meetings this spring why the investigation had not already ended.
But a former senior Clinton administration official recalled that Mrs. Clinton had aggressively asked senior aides whether there was something the United States could do to stop the genocide.
It was a video clip titled "John the raveing [sic] gay" which showed a man - apparently a homeless man - cornered by a bunch of boys who repeatedly and aggressively asked him if he was gay.
