Ranking list with duplicate values

Hello,
My company receives orders twice a week. In column A, I have a list of event times. In column B, I have a list of when the shipment arrives for the row's event time. In column C, I would like the rank of the delivery date in ascending order. In my attached spreadsheet Column D shows my desired answer.

I am trying to work in a table, so it would be helpful to use the table's structured referencing.

What causes me trouble is that each delivery occurs multiple times in the column, and I want the next delivery to have a rank of 2.
Also, If the event is in the past, I have the delivery left blank.

Delivery___,Rnk,I don't want
Wed 4:00 PM, 1 ,1
Wed 4:00 PM, 1 ,1
Wed 4:00 PM, 1 ,1
Wed 4:00 PM, 1 ,1
Sat 4:00 PM, 2 ,5
Sat 4:00 PM, 2 ,5
Sat 4:00 PM, 2 ,5
Sat 4:00 PM, 2 ,5
Sat 4:00 PM, 2 ,5

Thank you for the help!!

Thanks Cutter,
That formula works for exactly what I asked, however I don't think I was specific enough. I am hoping to nest the ranking inside of a larger formula in column C, and therefore am not able to use the cell above as a reference. The closest I've come is from a video showing how to create an array formula using INDEX, SMALL, IF, FREQUENCY, and ROW functions that lists the nth largest value the way I need, only I need to find the nth smallest value. Also, in the video it doesn't use the structured references as I would like.

Here is a link to the video: http://youtu.be/NhRYtZLmtwA , he addresses this @ 7:12