Question Summary:
Is a Muslim woman allow to slaughter an animal even if a man is not there?

Question Detail:

Is a Muslim woman allow to slaughter an animal even if a man is not there?

Answer :

In the Name of Allah, the Most Gracious, the Most Merciful.
As-salāmu ‘alaykumwa-rahmatullāhiwa-barakātuh.
It is permissible for a Muslim woman to slaughter an animal. (1)  However, a women should avoid being amongst Ghair mahram males at all times even during slaughtering an animal. 
And Allah Ta’āla Knows Best
Zakir Husain
Student DarulIftaa
Michigan, U.S.A
Checked and Approved by,
Mufti Ebrahim Desai.
(1)Fatawa Darul Uloom Zakariyyah(Zam Zam) vol.6 page.429.
  Ahsanul Fatawa(H.M Saeed) vol.7 page.408.