You are afraid of what you don't know, but that is normal. You have to understand the physics of what is going on with a sailboat. Imagine a weeble-wobble toy, If you take a blow dryer and blow it over, it will pop back up once the wind is off of it. If it blows hard enough, it will lie on its side or get blown aside. A boat is like a weeble-wobble. Look at a racing boat out of the water, That big thing at the bottom is a weight that is solid lead, or steel. It keeps the boat upright while in the water,like a weeble-wobble. All sail boats have them (most, not cats,etc.) Other forces are going on with the sails, they actually form a negative pressure on the lee side and pull, not push, the boat along.
It is all simple physics, not like the physics in college which I failed! Once you understand the forces going on you will feel safer.