In case of offering tarawih salah at home if male imam is leading the prayer and women follow him behind the curtain then as per the Shariah it is allowed. But it is better that only the women of home join the prayer. There is fear of fitnah in case of inviting the women from outside. It should be noted that in case of offering tarawih salah at home the male members of the house should offer Isha salah in the mosque as they shall not get the reward of mosque in offering Isha salah at home. While the women should offer Isha salah at home individually.
كما تكره إمامة الرجل لهن في بيت ليس معهن رجل غيره ولا محرم منه كأخته أو زوجته أو أمته أما إذا كان معهن واحد ممن ذكر – لا يكره – (رد المحتار: 2/307، زكريا ، فتاوى دارالعلوم: 4/250)
Allah knows Best!
Darul Uloom Deoband