We report the results of a new 60 \mbox { $ $ks } Chandra X-ray Observatory Advanced CCD Imaging Spectrometer S-array ( ACIS-S ) observation of the reddened , radio-selected , highly polarized ‘ FeLoBAL ’ quasar FIRST J1556 + 3517 . We investigated a number of models of varied sophistication to fit the 531-photon spectrum . These models ranged from simple power laws to power laws absorbed by hydrogen gas in differing ionization states and degrees of partial covering . Preferred fits indicate that the intrinsic X-ray flux is consistent with that expected for quasars of similarly high luminosity , i.e. , an intrinsic , dereddened and unabsorbed optical to X-ray spectral index of -1.7 . We can not tightly constrain the intrinsic X-ray power-law slope , but find indications that it is flat ( photon index \Gamma = 1.7 or flatter at a > 99 % confidence for a neutral hydrogen absorber model ) . Absorption is present , with a column density a few times 10 ^ { 23 } \mbox { $ $cm$ { } ^ { -2 } $ } , with both partially ionized models and partially covering neutral hydrogen models providing good fits . We present several lines of argument that suggest the fraction of X-ray emissions associated with the radio jet is not large . We combine our Chandra data with observations from the literature to construct the spectral energy distribution of FIRST J1556 + 3517 from radio to X-ray energies . We make corrections for Doppler beaming for the pole-on radio jet , optical dust reddening , and X-ray absorption , in order to recover a probable intrinsic spectrum . The quasar FIRST J1556 + 3517 seems to be an intrinsically normal radio-quiet quasar with a reddened optical/UV spectrum , a Doppler-boosted but intrinsically weak radio jet , and an X-ray absorber not dissimilar from that of other broad absorption line quasars .