Should I wash my hair?

This may sound silly, I’ve been no shampoo for a while and my mum keeps nagging me about it saying it’s greasy. What should I do? I want my hair to be healthy as well as being textured. If you need to see a photo then I can show one
No shampoo, it's full of harsh chemicals

You might use egg yolk mixed with coconut oil n honey.
Make sure to wash it well after using it.

Big take: try your best to not include egg whites even if only 1%

Only the yolk;
the whites will make it smells like shit.

But even if happened, the coconut oil will make it gone anyways and the honey too.