Hey, Charles, I think you might want to read through the replies to this similar, recent post:
https://www.susans.org/forums/index.php/topic,87581.msg625367.html#msg625367.
There's a lot of misinformation floating around in this thread. There is no medical (or legal) reason to need a pelvic exam or a Pap test before taking hormonal birth control. The Pap test looks for changes in cervical cells that can become cancerous, but cervical cancer is caused by a sexually transmitted virus; if you have never been exposed to the virus (which 80% of sexually active people have), then the test is unmerited. Similarly, a pelvic exam tells doctors if there's something physically wrong with your reproductive organs; if you have no complaints (severe cramps, heavy bleeding, irregular periods, etc.) then you simply don't need one, but if you do have any of these problems, it may be a useful diagnostic tool for troubleshooting them, and if you think it would be helpful, you can ask about taking anti-anxiety drugs to help you get through the appointment. Anyway, if you want to go on hormonal birth control to shorten or stop periods, try calling the doctor your mom wants to take you to to tell them you don't want or need an exam (and also say what you do want, if anything). You can even schedule a "clothes-on" appointment where you can talk to the doctor about what you're concerned about with no fear of exams or tests. Don't forget that they cannot do an exam on you against your will; don't forget that you can always say no, so if you don't want it, just say no, and they can't do it. You may also want to look into your local Planned Parenthood or youth clinic where you may be able to get it at low cost and without any unnecessary exams or testing.