Even thought in the first episode, Ikaros used her cards to accord every single desire of Tomoki, bringing to what looks like the end of the world, then the use of those is reduced to 2 times (I may have forgotten one or two occurrence(s)).
Episode 2 : Not intentionnaly when Tomoki wishes to make Sohara's underwears fly away unless it is the underwear Tomoki wants;
Episode 4 : Sohara borrows a card from Ikaros to bring all the panties in Tomoki's house to explode, Tomoki should look at them or touch them.
Why didn't Tomoki use more those cards to grant him what he wished?
Even if you take apart the opportunity of destroying/neutralizing Chaos by a single wish, he could have used it in some similar issues of the one mentionned above. Just as an example :
In episode 9, Tomoki spots an erotic DVD at a booth, but cannot afford it because Ikaros broke some other item.
It would be logical from Tomoki to use a card to get this DVD.