queen vs king which is more important/powerful

queen is best but if you do not have a king you lose

The King is most valuable because losing the King means you lose the game. If we ignore that fact, then the Queen is the chess piece with the most value.

When counting material:

pawn = 1 point

Knight = 3 points

Bishop = 3 points

Rook = 5 points

Queen = 9 points

This is a good guideline to estimate which exchanges are beneficial to you, but every chess position has their own unique factors and context which must be considered too. Material is just one of these factors to consider.

you are right

"Balls!" said the Queen. "If I had to, I could be King!"

... and the King just smiled. Not because he wanted to, but because he had to.

The king is more "important".

The queen is more "powerful".

Queen = 9 Points. 

King = ♾️

So, king is more important, but queen is more powerful.