You should be seen right away. You may need stitches and there is only a small window of time (a few hours) when they can be placed, plus you will need an antibiotic. You can get the tetanus shot while you are there.
The incubation period of tetanus ranges from 3-21 days. It takes up to 2 weeks for a tetanus shot to produce antibodies. There is more than 24 hours in the window. There is also the matter of infection so you need antibiotics tomorrow.