たもつ
to preserve, to endure
You hold the thing where it is rather than letting it slide, and she is working extremely hard at it. Her youth, on tomatoes たもつ and not much else: たもつ.
耐える たえる is enduring something coming at you. 保つ is keeping a state from slipping away.
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Emaki is not affiliated with, or endorsed by, Kaishi 1.5k or its authors. The word, reading and meaning come from the Kaishi 1.5k deck, used with their permission. The mnemonic, the note and the kanji breakdown are original work, published under CC BY-SA 4.0.