What you probably saw is something completely normal in eggs—not insect eggs.
Those “small slippery lumps” are most likely the chalazae. They’re little rope-like strands of egg white that anchor the yolk in the center of the egg. They can look weird or jelly-like when you crack an egg open, especially in fresh eggs, but they’re totally harmless and edible.
Another possibility (less common) is small clumps in the egg white from proteins or slight thickening—also normal. And sometimes people mistake parts of the yolk membrane or tiny blood spots for something alarming, but those are natural variations in eggs too.
So the “horrible truth” is actually the opposite: it’s just how eggs are built.
If you want, describe exactly what it looked like (color, shape, where it was in the egg), and I can pinpoint it more precisely.