Te is an adjective meaning hot. (Not to be confused with the homophone teith, meaning flee.
An‑, with a trailing non-breaking hyphen in the written form, is an intensive prefix meaning very.
Thus, an‑te (very hot).
An‑ lenites
The hyphen is important, being what distinguishes an‑, the intensive prefix, from an, the definite article.
In Munster, this intensive prefix includes a terminal epenthetic vowel before consonants (also occasionally before vowels), and is pronounced ana‑. It also lenites