Am I a dumb?

[Outlawkatt]

So a couple of my horses have traits. I am not sure though if they are genetic or would have no effect on genes. 

I have read through the trait info on the guide page but it makes my head spin at times. 

Example is - Kindred was able to gain Phoenix immortality through a birthday trait. So, would this effect her genes or not? 

Sorry if this has been asked a billion other times.