welcome to health care magic
You didn't mention in the query about the lump,,,whether it is freely mobile or just attached to the skin like a swelling in the forehead..
Eggs have very nutritive value,,it contains more protein,also contain Vit B12 which is essential for neurological development..
you can take eggs no problem..
Eating eggs is unrelated to your problem.
there is no dietary restriction to a sinus
problem(if assumed it a sinus problem)consult radiologist
and have your CT of paranasal sinuses(PNS)
it will reveal what is the hidden problem..
Then show it to your ENT specialist
and get suggestions