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1.
Quite simply a devote lesbian, who has no affiliation with the male sex organ.
You missy are a todger dodger
by Anonymous September 05, 2003
 
2.
Someone who is a 100% lesbian or someone who has an extreme allergic reaction to penis (male and female).
"Did you see that women explode when she gave orall"
"look at her shaven head, army boots yep she is a Todger Dodger"
by kinder king January 04, 2010