Which is better in night prayer: long standing (Qiyam) or long prostration (Sujood)?
Long standing (Qiyam) is better in prayer. However, a Muslim should also observe tranquility and composure in their prayer.
Is it permissible to make ablution without answering the call of nature after waking up?
Washing front and back openings (Istinjaa`) is not a condition for the validity of ablution because it is done to remove Najaasah (impurity), thus if there is no Najaasah, there is no need for that, and then it is permissible to make ablution without answering the call of nature. However, prayer is invalidated if there is Najaasah on the anus ,or the front opening, so it (Najaasah) must be removed for the prayer to become valid, and not the ablution.
What is the difference between Qiyam al-Layl and Tahajjud?
● Qiyam al-Layl refers to any voluntary prayer performed at night, including Tarawih.
● Tahajjud specifically refers to voluntary prayer performed at night after waking up from sleep.
Glad tidings to those who combine both, as numerous Quranic verses and hadiths mention their virtues.
Allah Almighty says {what means}: "And rise from thy sleep and pray during part of the night [as well], as a free offering from thee, and thy Sustainer may well raise thee to a glorious station [in the life to come." [Al-Isra`/79]
The Prophetﷺ said: "Whoever stands (in prayer) during Ramadan with faith and seeking reward, all their past sins will be forgiven." [Agreed upon]
Is it permissible for a woman to offer the obligatory prayer after Adhaan (call for prayer), and before Iqamah (The announcement that the prayer is about to begin) in the mosque?
Yes, it is permissible for a woman to offer the obligatory prayer immediately after the Adhan and before the Iqamah in the mosque. And Allah Knows Best.