Alternative Answer: Grey Wardens Can't Interfere With Political Conflicts But Nice Try - Tumblr Posts

How much time passed between Anders blowing out the Chantry and HoF leaving to look for a cure?

Teagan: Warden-Commander we need your help!! One of your wardens has destroyed Kirkwall's Chantry and has caused a war between mages and templars

HoF: Sounds awful bestie but that sounds like a you problem I'm gonna go find a cure for my no hubby.