Askew vs Lopsided - What's the difference?

As adjectives the difference between askew and lopsided

is that askew is turned or twisted to one side while lopsided is not even or balanced; not the same on one side as on the other.

is tilted to one side.

(head)

Turned or twisted to one side.

(figuratively) Untoward, unfavourable.

(en adverb)

tilted to one side.

He wore his hat askew

with disapproval

to look askew

(en adjective)

Not even or balanced; not the same on one side as on the other.

Carrying a heavy suitcase, he walked with a lopsided gait.