If you did in fact catch a spider in the act of biting, there is little you need to do.
Overall, spiders are quite harmless, and injuries like yours heal nicely in a couple days.
If the injury is not spreading or still itches, it is well on its way to healed.
Only two of the eight spider bites I have ever had, even developed any form of lesion at all, and most common spider bites are more nuisance than concern.
Well , do you have an antibiotic spread?
The spot turned brown and im not sure what I should do.