Don't worry. Some people just need longer to get their periode than others.
I got mine when I was about 12 or 13 and as far as I know everything with my body is fine.
Some people will get theirs even later but even if you only get it with 16 (I know someone who did) doesn't mean you will be infertil.
Also there can be some outside factors, that might influence you. Like, if you don't eat enough or are really stressed, then you might not get your periode until your not stressed anymore and your body has recoverd from it.
I'm sure you will get your periode sooner or later
