Nah, you'll be just fine. I was 17 when I was pg and gave birth at 18. My partner (who became my husband when bub was 4 months old) was 4 yrs older than me. The hospital staff never once batted an eyelid or looked down on us at all, they were great, even in our antenatal classes.
Please make sure you get onto the hospital for checkups won't you.