Her Client??? This isn't a federal case, and Gloria Allredy a Sleezball isn't licensed to practice law in Alabama, so how can she be a Client?
As long as this woman retained Gloria, or someone else did on her behalf, she is Gloria's client. Retention of an attorney and whether that attorney can practice in a particular jurisdiction are two separate matters.
I don't know what the terms of the retention would be. There might have been some upfront money paid and an agreement to represent signed. Or Allred is taking this case on a contingent fee -- that is, if there is any money settled on her client, Allred gets a cut. If there is no money by settlement, verdict or award, Allred doesn't get paid.
As to practicing in Alabama -- Allred could retain local counsel to file papers and appear in court. She could still be the main attorney and local counsel can be her lackeys.
Honestly, I still don't think Allred wants to go to court. Some attorneys call themselves litigators or trial attorneys, but they avoid trials at all costs, usually because they suck in a courtroom setting. I think she's looking for an out-of-court payday. She's an extortionist.