Actually your ear can be trained to tune.
When I was very young like 2, I couldn't tell pitch or sing in tune, or control my voice box I guess not knowing what note accuracy meant but I did try to sing stuff so my older siblings were teasing me.
I never had perfect pitch but through life joined better and better choirs and my pitch improved.
My accuracy improved with practice and I can tune by ear to relatively accurately.
I'm still not perfect pitched but in relative terms I can tune say the entire guitar relative to itself.
I think if you just keep practicing it try it without tuner each time then listen again to the correction with, over time you might be surprised.
The ear is just another muscle (kind of) it can be trained.