  We estimate the redshift-dependent, anisotropic clustering signal in DESI's
Year 1 Survey created by tidal alignments of Luminous Red Galaxies (LRGs) and a
selection-induced galaxy orientation bias. To this end, we measured the
correlation between LRG shapes and the tidal field with DESI's Year 1
redshifts, as traced by LRGs and Emission-Line Galaxies (ELGs). We also
estimate the galaxy orientation bias of LRGs caused by DESI's aperture-based
selection, and find it to increase by a factor of seven between redshifts 0.4 -
1.1 due to redder, fainter galaxies falling closer to DESI's imaging selection
cuts. These effects combine to dampen measurements of the quadrupole of the
correlation function caused by structure growth on scales of 10 - 80 Mpc/h by
about 0.15% for low redshifts (0.4<z<0.6) and 0.8% for high (0.8<z<1.1). We
provide estimates of the quadrupole signal created by intrinsic alignments that
can be used to correct this effect, which is necessary to meet DESI's
forecasted precision on measuring the growth rate of structure. While imaging
quality varies across DESI's footprint, we find no significant difference in
this effect between imaging regions in the Legacy Imaging Survey.
