をものともせず・をよそに: the difference
をものともせずN1
Meaning
Making nothing of, Ignoring, In defiance of, Regardless of, Disregarding
Past papers
Example
上司の反対をものともせず提案を押し通した。
Making nothing of the objection of their superiors, they insisted on the proposal.
をよそにN1
Meaning
Ignoring, Disregarding, Despite
Past papers
Tested once in past papers
Example
メアリーと武は親の反対を余所に一緒になった。
Ignoring their parents' objections, Mary and Takeshi got married.
How to tell them apart
「をものともせず」: praise; pushing ahead and beating hardships: 「荒波をものともせず出航した」.
「をよそに」: mostly critical; ignoring the kind advice or worry of those around and doing as you please: 「親の心配をよそに夜遊びに興じる」.