We present a detailed analysis of 76 high-resolution, high signal-to-noise spectra of the gamma Doradus star HD 207223 = HR 8330. Periodogram analysis of the moments of the line profiles reveals a single period of 2.67 +/- 0.01 days, a result consistent with that found in photometric studies. Mode identification was accomplished with both the moment method and from direct line-profile fitting. Both methods clearly point towards a sectoral mode of degree l greater than or equal to 2. The inclusion of rotational effects, by taking the Coriolis force into account, reveals a single consistent solution : an l = m = +2 retrograde sectoral mode that has a period of 1.4 days in the corotating frame. The star is seen at an inclination of 30 degrees. From this, we derive a rotational period of 4.9 days.