Hello,
In Atahualpa How can I change the widget distance between the header and content ?????????

Notsure what you mean. Are you ysing a new widget area? Do you mean the sidebars? Please explain more and give the URL showing the issue

I would like to know how to adjust the distance (space) between the end of the headline and the begining of the content of the widget. Sometimes there's no space between them at all and they touch.

Look in th theme options