I know that this is quite morbid, but if Sakuya's knives couldn't cut Tenshi's skin, I wonder what might happen if she (Tenshi) was gassed, electrocuted, hanged, drowned or hit with a blunt object?
Celestial people's bodies are very sturdy compared to regular humans, so we can't be sure that whatever can seriously harm regular people work as efficiently on celestial people. Celestial people are also supposedly more or less poisonous to youkai while humans are delicious for them, so we can't say for sure that their bodies are the same inside(?) too. Anyway,the harmful stuff are usually about how damaging they are ;pain is irrelevant since she can withstand it, so :
Gassing and electrocuting : going by gameplay mechanics, Tenshi takes damages from Reisen's gas spellcard and Iku's lightning attacks
like everyone else in the game, so these must work on her in one way or another since these deal some damage. Not sure if the gas itself'll harm her organism, body, nervous system or whatever, though ; and nothing is said about how electricity affect celestial folks's bodies. It should be less effective than when it's used on normal humans, though
Hanging and drowning : with a sturdy body like that, maybe nothing would break if she is hanged, so it'll be about how suffocating would affect her. She have a nose so maybe she breathes? so not being able to breath could be an issue. If breathing is not needed, then no problem
Hitting with a blunt object : pretty sure the blunt object would get hurt. The knives don't pierce her so these might as well be blunt objects, but these still deal some damage
Gameplay mechanism is a very cheap reference, but there's not a lot of information about how celestial people's bodies work, so... :X