Low energy precision experiments provide crucial tests of our understanding 
of the Standard Model of particle physics. QWEAK is one such experiment, 
aiming to measure the proton's weak charge, QWp, to within 4%. 
Unfortunately, the theoretical prediction of  QWp has been difficult to pin 
down owing to disagreements over the precise nature of certain higher-order 
radiative corrections and this has left the interpretation of future results 
subject to unwanted ambiguity. In this presentation, we examine the radiative 
corrections arising specifically from gammaZ interference and show that in fact, 
by using recent electron-deuteron parity-violating asymmetries, together with 
well-determined parton distribution functions, we can dramatically reduce the 
uncertainties associated with these corrections. Having removed such concerns, 
we provide a new estimate of both the gammaZ interference contribution and the 
revised theoretical uncertainties associated with it.