heritage

At what fraction should you stop claiming heritage? 
I'm 1/4 native. 
But I have no native features. Strawberry blonde, blue eyes, and my skin is essentially translucent with super easy burning. 
I was told because I'm not half or full native and have none of my families features, I shouldn't claim my native heritage and I'm just straight white. 
What do you guys think?
When should someone stop saying they're of a certain races decent?