Paula,
The best thing to do when completing an application is to give as much info as possible. That way the rehoming team have as much as they can to base things on. Birds on the rehoming list are put on for a certain length of time (a few weeks, I believe) to allow all interested parties to apply. Then the rehoming team contact all applicants to discuss things. If the home is thought to be the most suitable then a local ACO will go out and do a homecheck (for a small fee). In the whole of the process, the bird comes first, so even though someone may feel they may be the right home, if the bird's needs are different, then they will be placed with the right home.
As you can see, this can take some time to sort these various aspects out - so patience is necessary, I'm afraid. But I'm sure you'll agree the team have to make sure that they get the match right.
Vicki Fuller is in charge of rehoming and, as you've seen from the membership thread, she and Marc are due to move home soon, so I suspect rehoming may be delayed accordingly. Incidentally, on the other post you asked about processing membership applications, you're already showing as a BL Member, so Marc's already sorted that out for you.
So, welcome to BL, please introduce yourself in the introductions section (whereabouts you from, what birds/pets do you have, etc.) and enjoy the forum.
I hope you are successful in your application, but please be patient, everyone here is a volunteer and we need to make sure we get things right for the birds' sakes.