Brian, many have been in your shoes, including myself, having just had surgery, and now chemoradiation, again, and the waiting sucks. It took a month from my diagnosis to start chemo treatment in 2009, other subsequent treatments, surgeries, radiation, took longer, like two months or more. I waited 4 months for radiation treatment back in 2010 to start in 2011 due to Cobra Insurance, dental work, radiation planning. You have every right to be concerned, and theses tumors can grow in a short time, anything is possible with cancer. Twice, while waiting for surgeries for one neck tumor, another one popped up while waiting, which I found with my daily checking, in fact, I found all my cancers, except the last. Thankfully, they were taken out with the one surgery. The other factor is they have to wait until healing to begin treatment. For a neck dissection, it's 4-6 weeks, can be longer, but not sure about a tonsillectomy, which sometimes has bleecing issues in adults. It doesn't sound not unusual, and I'm used to the hurry up and wait, the busy scedules, and high demand for top doctors, but you can call to see what's the status, etc, but I don't if it ever helped me.
Good luck with everything.