IPA: /ɪnˈdɪfərntli/
KK: /ɪnˈdɪfərntli/
In a way that shows no interest, concern, or preference.
She shrugged indifferently when asked about the movie.
Indifferently → It is formed from "in-" (meaning not) and "differre" (meaning to differ or to carry apart) and the suffix "-ly" (meaning in a manner). The word "indifferently" means in a manner that does not show difference or preference.
Think of 'not' ('in-') showing 'difference' ('differre') — that's why indifferently means acting without preference.