I am a petite female and I did not have problem at all. I used to think like you but your height should not be a major issue. You can use some cushions to help you reach for the controls while having the airplane nose within your view. I know pilots who are only 5 feet tall and even less.
Some government training programs have height requirements. If this is the case, I suggest that you might have to pay for your own flight raining out of pocket.
Be tawfeeq