Without trap spotter, you have to actively look for traps. Trap spotter lets a rogue passively spot traps. Does this mean that if you fail the trap spotter check, you can actively try to spot said trap again (assuming you are looking in the right place).
For example:
I (a rogue) head towards a door (which is trapped) . The DM makes a secret roll (the DM naturally makes secret rolls on normal stuff, and fake things to cut down meta-gaming). Since the roll failed, the DM does not notify me of any traps. I, being a vigilant rogue, then want to inspect the door for traps.
Do I get this second chance since this is more of an active perception roll, rather than the passive perception roll from the trap spotter talent?