Moles photographed but I've now been given an appointment to see a dermatologist this Saturday. Should I be worried about the quick turnaround?

I have a mole on the front of my hand , I've had for years. Over the past few months this has started to turn lighter in the centre. Life continued on and I kept an eye on it, in October I made an appointment and got it looked at. My doctor said she wasn't to worried about it and I then mentioned one I had on my belly. She took one look at it and told me because the waiting list was so long she would red flag it for me and to try not to worry. I got a phone call to attend a telederm appointment for the 20th of November to have the two moles photographed. While waiting for the appointment I found another mole that almost looks like a nip to the skin which I had photographed also at the appointment. I got a phone call two weeks after getting my photos taken to say a dermatologist wants to see me and that they were extremely busy and they could offer me an appointment for Saturday 20th of December at half 8 in the morning. Should I be worried? Talking to family members have given me the option that sure they will cut it out if it is anything and that will be the end of it, am I overthinking things?.