I’m more invested in the outcome than the others (...) I skimmed the email and put it aside for later, since it seemed less than urgent to me.

Notice a contradiction?

To a reasonable first approximation teamwork consist of exchanging and fulfilling promises. (To a first approximation only; in particular, affect turns out to count for a lot, but more over the long run.)

See this article for an introduction to one framework for thinking about promises, inspired by the work of Fernando Flores and Terry "SHRDLU" Winograd, and by Searle's theory of speech acts.

The situation you describe can easily be analyzed in terms of failure to negotiate a reliable promise - consider the specific details "an exercise for the reader". The failure isn't necessarily on your part - but one major point of the article is that reliable promises are a shared responsibility.