Parsing inflected forms may not always work as expected. If the following does not give the correct word, try Latin Words or Perseus.
sup-pŭdet (subp-), ēre, v. impers., to be somewhat ashamed (Ciceronian): eorum me suppudebat, Cic. Fam. 9, 1, 2: puto te jam suppudere, id. ib. 15, 16, 1.