The answer is
RIGHT AWAY!
And the question is
When can you start?
Reasoning:
The clue that fits the {0} box is WALRUS, first letter W.
Then for barnyard animal, the word is Kitchen, the three letters we’re looking for are HEN.
Then for {4,5,6}, the word is Arcane; for ability we want CAN.
For {7,8} the first two letters are LA (Louisiana and Los Angeles), and the word is Layover. The two letters we want are YO.
For {9}, b is the silent letter in Doubt, the middle letter is U.
For {AB} the word is EAST, removing EA gives ST.
For {CDE} the word is Artistic, we’re looking for Paul Simon’s pal ART Garfunkel.
For {F} the character that appears 6 times is ?
Put all together (in increasing hex order) gives “When can you start?”, which means this might be a programming job too!
Being able to count on your hands and feet without using big toes or thumbs refers to
The fact that we have 16 of those digits, hence the hexadecimal ordering.