So that feels-laden comic about the “ugly” cat getting adopted by the older gentleman is called Ojisama to Neko. As far as I can tell, Ojisama to Neko is an ongoing online comic that’s mostly posted to the artist’s twitter account, @sakurai_umi_. You can even see the original of the adoption comic.
A physical manga is going to be released on February 22nd, which is Cat Day in Japan. Until then (and until we get a translated version) you can see lots more of them here.
But honestly, why do writers think folks want unnecessary drama involved in their otps? Especially if they are together? I don’t want inside drama. I want them to conquer exterior drama together while communicating well.
If you’re a content creator, remember that there’s always a least one person who’s waiting for your next creation. They can’t wait to see what you’ll draw, write, gif or edit next. That’s the kind of fan that matters the most.