Sort Data into Table

[Dems123]

Hi!
I am relatively new to Excel and am trying to make an automated sign up sheet for fun. I've nearly completed it but keep getting stuck when trying to actually sort the data.

I have it organised into a list based on priority(Date/Time it was requested) and have the times and dates recorded, but am looking for a way to make the data sort into a restricted list. There are three time slots and three spaces available for each time, so I want the program to take the requested spots from each person and sort the into the table, but if all requested times cannot fit, to ignore the request.
So, for the Table:
Person |Time 1|Time 2|Time 3|
1 ---------Y-----------------Y
2 ---------Y---------Y-------Y
3 -------------------Y-------Y
4 ---------Y ----------------Y
5 -------------------Y
It would Display:

|Time 1|Time 2|Time 3|
-----1 ------5 ------1
-----2-------2-------2
--------------3-------3

So even though Person 4 wanted a Time 1 and it was available, the Time 3 they requested was unavailable so they were ignored.