Write a Delete query and run it from a button even or from inside VBA code.
So
Code:
Dim strSQL, strCriteria As String
strCriteria = "[This is the Criteria or variable]"
strSQL = "Delete [Field Names] From [Table] Where [Field Names] = " & strCriteria
DoCmd.RunSQL(strSQL)
Write your Delete SQL in a Delete or Select query then move the SQL to the code.