How can i seek asylm have being here for five months,have got no job and i can go back to my country because am a lesbian

Affirmative asylum cases are complicated and require much effort.  If you are serious about proceeding, find a lawyer to assist you in the process.  The form that support an affirmative asylum application is I-589, but the case would require much more than the complete form.  You can find the form and its instructions on the USCIS website (uscis.gov).  I would be happy to assist you with your asylum claim if you contact me, but any lawyer with experience in asylum cases can help you.