The living room of my '20s house has a cathedral ceiling (a trapezoidal ceiling). Most of it is accessible from the attic and insulated with fiberglass batts. However, on the right side (and a tiny bit on the left) is covered by a roof and there is no insulation. I can see the lack of insulation in this part clearly with the thermal camera.
This is a view from the attic and the arrow pointing at the section where part of the cathedral ceiling is covered by roof:
And this is a thermal image from the living room:
There is a narrow cavity between roof and ceiling (maybe 3 inches thick). First I thought I could cut a piece of foam-board insulation and stuff it through but this is very hard as there nails and other obstructions coming from the roof. Using rock wool or fiberglass batts is even less realistic.
Hence I got the idea getting just a bag of blown-in cellulose insulation and manually throwing into this cavity. I do not want to rent a blower because it's expensive and it's really just this small section on the picture.
I am in climate zone 3 (California, Bay Area). There is some humidity in winter (with ocean breezes and days not long enough for the sun to dry) but I wouldn't say "humid" compared to the Southeast or other places.
Is there any concern with my plan?

