Who chose Tuesday as the delivery date?

The Laptop is delivered on Friday. D receives delivery on Friday. This implies:
D - Friday - Laptop is an arrangement.

E receives delivery on Tuesday and the item delivered on Tuesday is the Washing Machine. This implies that:
E - Tuesday - Washing Machine.

A purchases Refrigerator and C does not purchase TV which implies that B purchases TV and C purchases Microwave.
The Microwave is not delivered on Tuesday or Wednesday which implies that Microwave is delivered on either Monday or Thursday.

This gives: 
A - - Refrigerator
B - - TV
C - Monday/Thursday - Microwave
D - Friday - Laptop
E - Tuesday - Washing Machine
Only this could be inferred from the given information.

E is the one who chose Tuesday as the delivery day.