Alexis' application was simple, because she didn't even have to go to The Cage for it, not least because that's not how you apply. Matthew knew a guy, who knew another guy, and who was the brother-in-law of a guy who worked at The Cage, which made the whole process easy. The half-dragon only needed to meet with the latter home, to prove that such euphoria from her sister's husband was not just drivel.
To prove that she was an S-Class, Alexis needed to show a crystal pendant, whose crest of the Cardinal Kingdom Guild was impossible to plagiarize.
By the time the man hit his eye on the pendant, he already went crazy and wondered who was the height of the half-dragon in the Cage. Still, he promised that he would be able to schedule the fight for Friday of the same week, and that it was impossible for the Cage bosses not to accept, because a single fight could yield thousands and thousands of gold coins.