Being in the presence of an actual angel might seem chilly, even as the angel produced healing warmth, because an angel's experience is different than the experiences of we fumblers and muddlers through.

Hilary Mantel's book "Fludd" is good on the warmth and chill of having an angel around the house.

What you've got going for you, as a non-angel, when you're in a position to help, is your flaws, which help you fit right in. You can do a bit of angel work without being so discombobulating.