She kept close contact with other composers of her time, such as Mykola Lysenko, Boris Lyatoshynsky, Viktor Kosenko, and Levko Revutsky.
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Among her main roles as performer is Natalka, from Natalka Poltavka by Mykola Lysenko, Oksana, from The Zaporozhets Beyond the Danube by Gulak-Artemovskii), and Liuba Shevtsova, from The Young Guards by Yuliy Meitus.
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In 1927, Gaidai graduated from the Tambov Music College (N. V. Lysenko Institute of Music and Drama), where she studied under the guidance of Olena Muravyova.
From 1900 she was one of the most renown teachers of voice in Ukraine and schooled over 400 singers, among them Miliza Korjus, Zoia Gaidai, Ivan Kozlovsky, Larissa Rudenko, and Elena Petlyash.