Each vertical phrase refers to one of the cards that can be seen in the house of cards.

The only one left = 8 of Hearts
Can be high or low = Ace of Spades
8 higher than #4 = 10 of Hearts
Touches 2 other cards = 2 of Diamonds
As in dom or pin = King of Clubs
Touches the most other cards = 6 of Diamonds

Most of the words at the very bottom are 13 letters long. Each suit in a deck of cards contains 13 cards.

Take the same number letter from the word making sure to use the suit that matches the suit of the card.

The only one left = 8 of Hearts

The 8th letter of Quizmastering = T

8 of Hearts = 8th letter of Quizmaster = T
Ace of Spades = first or last letter of Revolutionizer = R
(10-7) of Hearts = 3rd letter of Quizmastering = I
2 of Diamonds = 2nd letter of Scrumptiously = C
King of Clubs = 13th letter of Laughingstock = K
(7+6) of Diamonds = 13th letter of Scrumptiously = Y

TRICKY