Looks like this on Chrome Ubuntu. I'm not impressed

http://imgur.com/KlHdZ47

Just what http://shapecatcher.com/ put out in a few minutes seems to render more reliable as a compromise than the proposed composition Ƭ̵̬̊.

Ŧ̊ (Latin capital letter t with stroke + combining ring above) or Ankh, ቶ (Ethiopic syllable to) or even simply the female sign with caret?*

All seem way safer to render than this. With more than one Combining Diacritical Mark Ŧ̬ͦ it's seems quite impossible to tell how this will be rendered in different browsers.

* why does HN filter for the female sign 0x2640 and Ankh?

Looks completely broken — This is on Chrome (46.0.2490.80), Mac OS X (10.10.5): http://imgur.com/bC1n1sA

It even displays correctly in Notepad in Windows 7.