The difference between Pace and Trot

When used as nouns, pace means one's journey or route, whereas trot means an ugly old woman, a hag.

When used as verbs, pace means walk to and fro in a small space, whereas trot means to walk rapidly.

Pace is also preposition with the meaning: with all due respect to.

Pace is also adjective with the meaning: describing a bowler who bowls fast balls.

check bellow for the other definitions of Pace and Trot

Pace as a noun (obsolete):

Passage, route. One's journey or route. A passage through difficult terrain; a mountain pass or route vulnerable to ambush etc. An aisle in a church.
Pace as a noun:

Step. A step taken with the foot. The distance covered in a step (or sometimes two), either vaguely or according to various specific set measurements.

Examples:

"Even at the duel, standing 10 paces apart, he could have satisfied Aaron’s honor."

"I have perambulated your field, and estimate its perimeter to be 219 paces."
Pace as a noun:

Way of stepping. A manner of walking, running or dancing; the rate or style of how someone moves with their feet. Any of various gaits of a horse, specifically a 2-beat, lateral gait.
Pace as a noun:

Speed or velocity in general.
Pace as a noun (cricket):

A measure of the hardness of a pitch and of the tendency of a cricket ball to maintain its speed after bouncing.
Pace as a noun:

A group of donkeys.

Pace as an adjective (cricket):

Describing a bowler who bowls fast balls.

Trot as a noun (archaic, disparaging):

An ugly old woman, a hag.
Trot as a noun (chiefly, of horses):

A gait of a four-legged animal between walk and canter, a diagonal gait (in which diagonally opposite pairs of legs move together).
Trot as a noun:

A gait of a person faster than a walk.
Trot as a noun:

A toddler.
Trot as a noun (obsolete):

A young animal.
Trot as a noun (dance):

A moderately rapid dance.
Trot as a noun (mildly disparaging):
Trot as a noun (Australia, obsolete):

A succession of heads thrown in a game of two-up.
Trot as a noun (Australia, New Zealand, with "good" or "bad"):

A run of luck or fortune.

Examples:

"He′s had a good trot, but his luck will end soon."
Trot as a noun (dated, slang, among students):

Trot as a verb:

To walk rapidly.
Trot as a verb (intransitive, of a horse):

To move at a gait between a walk and a canter.
Trot as a verb (transitive):

To cause to move, as a horse or other animal, in the pace called a trot; to cause to run without galloping or cantering.

Trot as a noun:

A genre of Korean pop music employing repetitive rhythm and vocal inflections.