prema—love of Godhead; eva—certainly; gopa-ramanam—of all the gopis; kamah—lust; iti—thus; agamat—became current; pratham—the process; iti—thus; uddhava-adayah—all devotees, headed by Uddhava; api—certainly; etam—this type of behavior; vanchanti—desire; bhagavat-priyah—those who are very, very dear to the Supreme Personality of Godhead.