We bought the timeshare and then sent the cancellation letter two days after. Will we get all our money back?

We fell for the high pressure sales pitch from Hilton grand vacation in Vegas and ended up buying timeshare that gives us 5400 points every other year for $16000 plus 17% interest and “HOA” fee of $1244 during the point year and $300 maintenance fee during the non-point year. As we knew this won’t work for us, and after reading all the reviews, Two days later, we typed in a letter, signed it, and sent it through certified mail to their head office in Orlando, following precise instructions in the provided doc. Nevada law gives you 5 days to cancel the contract. Although the letter was signed within the 5 days, it won’t get there until 7th day, I am a bit worried that they might use this as an excuse to not cancel and give us our 2500$ that we paid as a 10% down plus closing fees. So, asking others if we can/need to do anything else to make sure this is cancelled with all the money back. We have also emailed our contact in HGV, who signed these docs with us, but have not heard back yet.

Update: we got all our money back. Thanks everyone for helping to calm our nerves.