They also hate when people donate "supplies" which is usually 30+ year old torn up camping equipment, and old clothes that should have been thrown out.
Just donate money and get out of the way.
If you really want to be a help, donate time before disasters happen so you're trained up for when they do. Starting to gather supplies and training during a disaster is far far too late.
That's probably too much warping for humidity. The hinges are probably pulling that side of the door lower.
Do you own this property? If so, I would pull the trim off completely, rehang the door properly, with longer screws through the hinges to hold them up to the framing, and then put the trim back on.
If you rent, call your landlord to do the above.