Mm, that depends on what you mean by power, I suppose.

[ Maglor smiles in fond remembrance ]

Mistress Coltsfoot is no great king or lord to command and expect to be obeyed! But she is indeed mistress of her small domain, and it would be the height of rudeness to refuse an invitation, which in hobbit society is simply Not Done. Also, she serves probably the best peach cobbler under the hill, over the hill or by the water, which certainly sweetens the deal.