Eggs are one of the BEST protein sources when it comes to protein quality and bioavailability.
"Proteins from animal sources (i.e. eggs, milk, meat, fish and poultry) provide the highest quality rating of food sources. This is primarily due to the ‘completeness’ of proteins from these sources. Although protein from these sources are also associated with high intakes of saturated fats and cholesterol, there have been a number of studies that have demonstrated positive benefits of animal proteins in various population groups "
And, you need a base amount of fat anyways, better to get it from something like eggs.
(I’ve said this before, but my BEST bike training / recovery meal is white or brown rice, 3 fried eggs with a little olive oil, and sriracha or pick your seasoning)