#B47713 of the Hexes
Answer: PURPLE RAIN

The witches' clues at the top can all be answered with a six letter word in base 16 (using the common visual approximations of some numbers as letters: 1=L, 3=E, 4=A, 5=S, 7=T, most of which are hinted by the title), and the given index extracts one character from this word. These words, when interpreted as hex color codes, line up with the given color names:

ClueAnswerExtracted characterColor
As the #______ daughter, Narmada felt she had the right to choose the movie for family night. (3)#31D357D green
Mathematician George, who drinks 10,000 cups of #______ a day, is an outlier and should not be counted. (5)#C0FF333 yellow-green
The camper made a #______ excuse for being late to sign-in, which Kevin did not believe. (4)#F33B13B red
The young musician stayed up all night preparing a #______ to woo the princess. (2)#B4114D4 dark pink
To start your own #______ ranch, you need to have access to plenty of water and the right kind of fencing. (5)#C477131 brown
You don't need to #______ over every small detail when you plan a scheduleboard event. (1)#0B53550 dark blue

Putting these characters in the color order on the bottom (red, dark blue, dark pink, yellow-green, green, brown) gives #B043D1, which is Purple's canonical shade of purple.

In the second part of the puzzle, the warlocks appear to invoke the color black four times, but they are not all exactly the same shade of black. Instead, all three color channels are a value from 1 through 26, which can be converted to a letter:

SwatchColor codeChannel valueLetter
#1212121216 = 18R
#0101010116 = 1A
#0909090916 = 9I
#0E0E0E0E16 = 14N

Combining the PURPLE color from the witches with the RAIN from the warlocks yields the 10 letter answer, PURPLE RAIN.