I'm offended by that statement. I was hired into the NICU still wet behind the ears and have done just fine!
No matter what type of nursing you go into it's going to be hard. Real nursing isn't taught in school, it's learned on the floor and the learning curve is steep. It's certainly not impossible otherwise there would be no nurses.
OP, only you can decide if NICU is for you or not. "Sensitive" is so subjective that nobody can answer your question but you.
We can give you insight from our point of view but it's your decision in the end.
That being said, NICU is everything. It's happy, sad, rewarding, aggravating, busy, fulfilling, intense, scary.......and that's in just one shift.
I wouldn't trade my NICU job for the world though.