First of all sorry to hear that but It hink your provider seems a bit restrictive/bad then if Minion is causing this
Check the minion settings (gear icon, top right edge of the Ui),
there is a slider for the maximum concurrent downloads at the same time
Change that to 1 so there should be only 1 connection used.
If this does not help I'm unsure what to do here.
Maybe talk to your ISP and tell them this shouldn't be a problem and they should look into it and allow it at your connection.
I never heard of that happening to anyone else so far so unfortunately I got no other idea.