I downloaded your image, the whites do indeed measure a little reddish.
My advice - start with your system/monitor, by using a reference image, preferably a neutral step wedge. By neutral, I mean in any normal editing workspace (sRGB, Adobe1998, ProPhoto) when R=G=B the area should appear neutral on your display. If it doesn't then something is wrong with your calibration/profiling.
Here's a site with some useful test images - http://www.drycreekphoto.com/Learn/monitor_calibration.htm
And BTW use your eyedropper to check neutral areas within Lightroom/Photoshop, don't be completely dependent upon visual assessment.