Yes. They will be bothered as they love you are care for you. They would definitely be concerned about your well-being. Whether you agree with your parents or not totally depends on your relationship with your family and how much you value their opinion.
If you think you are mature enough to take your own decisions and are not bothered about what your siblings/ parents think of it, you can always go ahead and get married. Else, you can try to convince them why this person is perfect for you. Maybe their opinion would change.