The Qenya Lexicon of the 1910s had ᴱQ. est “outwards” based on the early root ᴱ√ESE (QL/36).
Neo-Quenya: For purposes of Neo-Quenya I would adapt this word as ᴺQ. esta “outwards”, a combination of the later root √ET “out” with the ancient allative suffix ✶-da, with t + d > st.
A deleted verb glossed “send” in Early Qenya Word-lists of the 1920s, perhaps based on the early root ᴱ√ERE/ESE [EÐE] “out” as suggested by the editors (PE16/133).