Oops. Yeah, I guess T without a period is correct, although T. Caneer shows up as well in some newsÂstories online. This obituary title has T. but it's T in the text.
What's a bit confusing is that some citations now omit periods after initials, which is standard spelling in American English, but no longer used that much in British spellings of names. I usually try to use American spellings and styles, such as acronyms that sound like words all upper case, so NASA in American style, Nasa in BBC stuff, etc. This was a case of overcorrecting to fit American style and spelling.