We present far- and near-ultraviolet absorption spectroscopy of the $sim$23 Myr edge-on debris disk surrounding the A0V star $eta$ Telescopii, obtained with the Hubble Space Telescope Space Telescope Imaging Spectrograph. We detect absorption lines from C I, C II, O I, Mg II, Al II, Si II, S II, Mn II, Fe II, and marginally N I. The lines show two clear absorption components at $-22.7pm0.5$ km s$^{-1}$ and $-17.8pm0.7$ km s$^{-1}$, which we attribute to circumstellar (CS) and interstellar (IS) gas, respectively. CO absorption is not detected, and we find no evidence for star-grazing exocomets. The CS absorption components are blueshifted by $-16.9pm2.6$ km s$^{-1}$ in the stars reference frame, indicating that they are outflowing in a radiatively driven disk wind. We find that the C/Fe ratio in the $eta$ Tel CS gas is significantly higher than the solar ratio, as is the case in the $beta$ Pic and 49 Cet debris disks. Unlike those disks, however, the measured C/O ratio in the $eta$ Tel CS gas is consistent with the solar value. Our analysis shows that because $eta$ Tel is an earlier type star than $beta$ Pic and 49 Cet, with more substantial radiation pressure at the dominant C II transitions, this species cannot bind the CS gas disk to the star as it does for $beta$ Pic and 49 Cet, resulting in the disk wind.
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