Parsing inflected forms may not always work as expected. If the following does not give the correct word, try Latin Words or Perseus.
Strēnia (Strēnŭa), ae, f. [strena], the goddess that presides over new-year’s gifts, Varr. L. L. 5, § 47 Müll.; Aug. Civ. Dei, 4, 16.
Strēnŭa, v. Strenia.