I have four questions for you.
1., Did you see the lab report?
2. Did she give you a thorough discussion of the kind of dysplasia you have, where it's located, how extensive it is, if it's in the endocervical canal, and if the endocervical glands are involved?
3. Did she discuss the risks and benefits of all your options, before making a recommendation?
4. Given your family history of cancer, why did she not want to honor your treatment preference?
According to the guidebook I found on LEEP, she is required to discuss all your options, so what you posted about what she wants to do raises some questions. I know this is scary enough, but looking at the lab report will be the first step in helping you decide which treatment option is best for you. It will also get you proactively involved with doing what is best for your health, which will definitely help remove some of the feelings of helplessness. Also consider getting a second opinion before you do anything. If your doctor is also not willing to do all of the above, please fire her. From personal experience, I know you will feel so much better when you have a doctor who wants to work with you rather than do something to you.