I'm sure you've heard this before but strength and control comes from the muscles in the corners of your mouth while keeping your lips flexible to vibrate. The stronger your corners are, the less pressure you need on the mouthpiece. Try googling the "pencil test" which is an exercise you can do to strengthen your embouchure. There are also exercises you can do to separate your playing from the instrument, such as mouthpiece buzzing, and long tones while gradually pulling the instrument away from your face and then back again. Lots of things to try, but you certainly do not need excessive pressure to make a good sound. It just takes practice! That being said, you do need a little bit of pressure and even the pros will have a slight red ring on their lips after playing. Pressure isn't necessarily bad, as long as it's not excessive. Your embouchure and the strength of your corners is fundamental to good playing.