Do you have any sources for wood cooking implements being unhygienic? I recall one a few years ago finding that wooden cutting boards are _more_ hygienic than plastic as they pull bacteria into their pores and trap and kill them: https://news.ncsu.edu/2014/09/cutting-boards-food-safety/
I don't think I've ever even seen a wooden spatula, and I don't see how you could make one thin enough to flip pancakes (or worse eggs) and it stay durable.
I use wooden spatulas, and gladly take the short-term biological risk over the long-term hormonal risk. In any case, in a modern kitchen where utensils are washed thoroughly and regularly I don't see an issue with wood.
It's a common thing in woodworking class at school. We have a spoon, butter knife and a cutting board made by our daughter. We also have a bunch of other wooden kitchen utencils since half the family works with wood on their free time... :-)
You can use a well made, smoothly polished metal one with round edges. Your eggs are not sticking to your non-stick pan, right? So you will never use any of the kind of force that will gouge the surface.