The gynecologists at Planned Parenthood are real gynecologists. They went to medical school too. They just work at a clinic rather than at a private doctor's office. That's not a bad thing. In fact, I think it's good. They're working for a nonprofit organization rather than a private practice. And that means they genuinely care more about your health than they do about your money. I personally go to clinics exclusively now. I have always received much better care there. They have the time to sit down, talk to you, and explain things. Doctors at a private practice tend to rush you in and out so that they can get the next paying customer in. So it sounds like your mom is confused about what a clinic is, and she actually might be putting you in worse medical care by making you switch. You can try this new doctor out, but if you don't like it, put your foot down and tell her you're going back to the clinic. She could even come with you so she could meet the doctors and ask questions.
So yes, I think your mother is in the wrong there. But you were even more in the wrong. The best option would have been to continue getting your birth control from the clinic until you got in to the other doctor. The next best option would be to just use condoms. But having unprotected sex? There's absolutely no excuse for that. But it sounds like you already know and admit that, so hopefully it won't happen again! (I just can't make a post without preaching if you haven't noticed. xp )
As for your symptoms, yes, they could be a result of pregnancy. But they could also be related to stress, an upcoming period, getting off your hormonal birth control, and a whole bunch of other things. So you can never go by symptoms alone.
The jelly discharge actually sounds like it might be normal though. Discharge changes throughout your cycle. Sometimes it's watery, or milky, or like egg whites. Sometimes it sort of drips out, other times it comes out in a sort of clump with a consistency sort of jelly or jello! But if it seems really unusual to you, or yellow, or stinky, mention it to the doctor when you go in as it could be a sign of infection.
So I'd recommend using condoms for now, keeping calm, avoiding tobacco and alcohol, waiting for your period, taking another pregnancy test if you're late, and maybe talking to your partner about what you would do if you were pregnant if you haven't already had that talk.
The Teen Sex, Pregnancy and Puberty Guild
A guild for teenagers covering topics centering around teen sex, pregnancy, puberty, and other aspects of teen life.