How to add a image in your drupal.org bio?
I just did a similar experiment (followed by an undo ...), and tried adding this HTML code in the same "Bio" file:

&lt;p&gt;&lt;img src="/files/logo2104april_0.png" /&gt;&lt;br /&gt;
&lt;img src="/files/styles/grid-2/public/user-pictures/picture-1962106-1505315670.png" /&gt;&lt;br /&gt;
Drupaler driven by Views/Flag/Rules/Message/Group.&lt;/p&gt;


And guess what, it worked!

The bio you can currently see in my drupal.org profile is created using this HTML code:

&lt;p&gt;&lt;img src="/files/styles/grid-3/public/project-images/rules-140.png" /&gt;&lt;br /&gt;
Drupaler driven by Views/Flag/Rules/Message/Group.&lt;/p&gt;


So I think you should use an existing image that you know already exists on drupal.org (such as within /files/ for both of my sample images).

Ps: note the special image I used from that pictures directory ... looks familiar?