Which takes precedence: the 'aqīqah or the uḍḥiyyah?
All praise is due to Allah, and may peace and blessings be upon our Master, the Messenger of Allah.
The 'aqīqah is an act of worship through which a servant draws closer to Allah the Almighty in gratitude for the blessing of a newborn child. It is a confirmed Sunnah for those who are financially capable, and Allah does not burden any soul beyond what it can bear.
However, the uḍḥiyyah takes precedence, as it is a confirmed Sunnah established from the Prophet ﷺ through stronger and more numerous narrations — indeed, the Ḥanafī scholars hold it to be obligatory. Furthermore, its time is narrow and limited, expiring with the passing of the days of Eid, whereas the 'aqīqah may be delayed until one becomes financially capable of performing it.
And Allah Almighty knows best.
Is vomit among the nullifiers of Wudu (ablution)?
Vomit does not nullify Wudu, but it is a Najaasah (impurity) that requires rinsing the mouth and washing whatever became dirty by it since the prayer becomes valid only after the removal of Najaasah. And Allah Knows Best.
What is the ruling on forgetting an integral of the prayer?
Praise be to Allah, and peace and blessings be upon our Master, the Messenger of Allah.
Whoever forgets an integral (Rukn) of the prayer and remembers it before reaching the equivalent point in the subsequent unit (Rak'ah), must return to it (i.e., perform it) and complete his prayer, then perform the prostration of forgetfulness (Sujud al-Sahw) at the end of his prayer. However, if he remembers it after reaching the equivalent point in the subsequent unit, the Rak'ah in which the integral was forgotten is invalidated, and the current unit takes its place; he then completes a full Rak'ah to compensate and performs the prostration of forgetfulness.
It is stated in Nihayat al-Muhtaj ila Sharh al-Minhaj (Vol.1/P.543): 'If he becomes certain at the end of his prayer, or after the Salam—provided the interval is not long according to custom and he has not stepped on an impurity—that he omitted a prostration from the final Rak'ah, he must perform it and repeat the Tashahhud, as his previous Tashahhud occurred before its proper place. If the omission was from a Rak'ah other than the final one, he must perform a full Rak'ah, because the deficient unit was completed by a prostration from the subsequent one, rendering the rest of that subsequent unit void.' And Allah the Exalted knows best.
What are the conditions for a valid Udhiyah?
Praise be to Allah, and peace and blessings be upon our master, the Messenger of Allah.
First: The age of the animal must meet the Sharia requirements. These requirements vary depending on the type of sacrifice:
Camels: Must have completed five years and entered their sixth.
Cows: Must have completed two years and entered their third.
Goats: Must have completed two years and entered their third. As for Sheep, they must have completed one year and entered their second.
Some scholars have permitted goats that have completed one year and entered their second.
The Hanafi school, along with an opinion in the Maliki school, permits sacrificing sheep that are at least six months old, provided they are healthy and physically substantial. According to the Shafi’i school, it is permissible if the sheep sheds its front teeth (ajdha') before reaching one year [Al-Iqna’, by Al-Shirbini (Vol.2/P.588)].
Second: Soundness and freedom from defects. The animal must be free from any defect that causes a decrease in its meat or market value. This is based on the hadith narrated by Al-Bara' bin 'Azib, that the Prophet (peace be upon him) said:
"Four [defects] are not permissible in sacrifices: A one-eyed animal whose blindness is evident, a sick animal whose illness is evident, a lame animal whose lameness is evident, and an emaciated animal that has no marrow in its bones." [Reported by Abu Dawood and Al-Tirmidhi, who graded it as authentic].
These defects are detailed as follows:
Evident Lameness: It is not permissible to sacrifice a lame animal if the lameness is severe enough to prevent it from walking to the pasture or seeking food, as this leads to a decrease in its meat. However, slight lameness that does not hinder its grazing is overlooked.
Evident Blindness (One-eyed): It is not permissible to sacrifice a sheep, cow, or camel that has a white film over its eye blocking light, or one that has lost an eye entirely. Weak vision that does not affect its ability to eat does not prevent the sacrifice from being valid.
Evident Illness: An animal with a clear sickness that prevents it from eating or moving is not valid. This includes severe mange (Jarab) that spoils the meat.
Extreme Emaciation: An animal so thin that there is no marrow left in its bones is invalid. The standard for emaciation that invalidates the sacrifice is that which spoils the quality of the meat to the point that people would find it undesirable even in times of plenty.
Additional Considerations:
These are the defects mentioned in the Prophetic tradition, and any defect that causes emaciation or reduces the meat or value is compared to them by analogy. This includes animals that are mentally unstable (diseased), those with mange, or those with a missing ear. In contrast, a slit or pierced ear does not affect the validity of the sacrifice. And Allah the Almighty knows best.