I think your T is probably best to answer these question..?
But I personally, do not think that taking a nap or asking for help is avoiding or in any case a bad thing.. It really sounds like self-care to me.

If you´re still taking care of the project, you´re not avoiding it, and as long as you get up at some time after your nap, you can face whatever made you tired before and maybe can handle that better too..