Had my tetanus primary series as a child yesterdat i got my tetanus shot with 3 days delays(without tig) it was >10years from last shot,am i safe,why?

Depends on wound: The cited incubation is 3-21 days with most starting around 8. Shorter incubation is associated with more extensive & "dirty" wounds. Simple wounds that were adequately cleaned would not be a significant risk & seldom given TIG. Booster antibodies begin to appear at 4 days and peak around 2 wks. If you had no booster within the past 10 yrs or had a soil contaminated wound I would seek TIG.