Not everyone is able to handle rejection well, it can overwhelm them, upset them and anger them.
People don't tend to think well once they are angered or unhappy and that may cause them to write irrational things/take their anger out on players/staff and just ruin someones day.
They may also see someone with a better chance and decide to bring them down because if they can't get it, no one can.. kind of thought.
In other words, they may just self destruct on us.
It's best to be patient and wait for a month then re-evaluate themselves.
If the button was implemented (I doubt it will since it doesn't fit the format) players are just going to message every single staff member asking why they denied it and non stop questions (we will get pointless inbox and the important messages will get buried)
You could take this as a test of patience, to see how players react after not getting a reply.
Would the player try again, give up. How determined are they etc.