The headword, a compound of τλάω (I suffer) and πεῖρα (trial, attempt), is a two-ending adjective in the masculine (and feminine) nominative singular; see generally LSJ s.v. It occurs at, and is here extracted from, Homer, Odyssey 7.24 (web address 1); see further, next note. In that passage Odysseus explains to Athena (accosting him in the guise of a Phaeacian maiden) that he is a visitor from afar, one who has suffered greatly. [In her critical apparatus, Adler notes that ms F omitted the headword and that the entry did not receive a separate lemma in ms V.]
[1] The gloss follows the scholion attributed to Aristarchus (= scholia vetera) to the aforementioned Homeric passage and is the same grammatical form as the lemma; see generally LSJ s.v. The headword is similarly glossed by Etymologicum Gudianum; cf. Hesychius and Etymologicum Magnum 744.50 (Kallierges). The neuter form of the headword is similarly glossed in Photius' Lexicon. Adler also cites Lexicon Ambrosianum.