〜をものともせず(に)
undeterred by, in defiance of
Noun + をものともせず(に)
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をものともせず means bravely overcoming an obstacle as if it were nothing: 彼は大けがをものともせず、試合に出場した, "undeterred by a serious injury, he played in the match".
The noun is a hardship: injury, strong wind, cold, criticism, difficulty. The second half is an admirable achievement. The tone is praise, so it's common in sports reports and inspiring stories. You don't use it about yourself.
It's literally "not treating it as anything". Compare をよそに, "ignoring (others' feelings)", which is often critical, and を押して, "pushing through (one's own illness or others' objections)".
Examples
彼は大けがをものともせず、試合に出場した。
Undeterred by a serious injury, he played in the match.
強い風をものともせず、船は進んだ。
The boat pressed on, undaunted by the strong wind.
周囲の批判をものともせずに、彼女は自分の道を貫いた。
Undeterred by criticism, she stayed true to her own path.
寒さをものともせず、子どもたちは外で遊んでいる。
The children are playing outside, oblivious to the cold.
数々の困難をものともせず、彼らは山頂を目指した。
Undaunted by countless difficulties, they pushed on for the summit.