Yes, go to a doctor.
I have had a close relative deal with the debilitating side of things, when a doctor missed all the signs and misdiagnosed her.
I have had the classic bullseye rash one time from a tick bite, and I, too, flushed the tick, but should have saved it because that is the only way to be 100% sure from the get-go whether the tick had lyme or other diseases.
They will at first refuse to admit that it is anything related to lyme disease, especially because the rash will likely be gone by the time you get to them.
Do your own research and read people's stories about when they ignored the rash, and that is probably enough to convince anyone to find a doctor to prescribe good antibiotics.
You'll want something strong, that you take for about 10-14 days. The meds I took made my skin feel like it was slightly on fire whenever I went out into the sun for the last week I was on the meds, but I definitely am glad I went and got them, because I wasn't going to at first, but several friends insisted.
I've done a load of research on this; feel free to ask me questions if you want, and I'll point you to some good resources.