Is it permissible for one to shake hands with his uncle`s daughter?
No, it isn`t because he is a non-Mahram (Marriageable) to her.
Is Hyena's Meat Permissible or Impermissible?
All perfect praise be to Allah, the Lord of the worlds. I testify that there is none worthy of worship except Allah and that Muhammad, sallallahu ‘alayhi wa sallam, is His slave and Messenger.
There is disagreement amongst the jurists as regards the ruling on eating hyena`s meat. Shafi`i and Hanabli jurists are of the view that eating hyena`s meat is permissible. The proof is the Hadith related by Al-Baihaqhi on the authority of Ibn Abi Ammar who said: "I asked Jabir bin Abdulla about hyenas, and he told me to eat them. I said: "Is it not game? He said: 'Yes' I said: 'Did you hear that from the Messenger of Allah?" He said: "Yes." And Allah The Almighty Knows Best.
What should a person, who delayed making up missed fasts of last Ramadan due to the continuance of the same excuse, do?
It is permissible for one, whose excuse for not making up missed fasts of last Ramadhaan has continued, to delay fasting until the excuse ceases to exist, and he is considered neither sinful, nor obligated to pay a ransom. And Allah Knows Best.
Is it permissible to pray with a heater (stove) in front of me?
There is no harm in praying with a heater in front of you, as long as you do not intend to venerate the fire or imitate those who worship it. And Allah Knows Best.