I doubt T meant it in the way you are currently hearing it but I believe the timing of the comment was poor. Suggestions like that are often simply met to get people active especially if they might be struggling with depression. Activity can help some people pull out of a depression and exercise can release endorphins which make you feel good.
I don’t think it had anything to do with weight. I do think it was showing a lack of sensitivity to your social anxieties. I also think throwing something new out there just before going on break is always risky.