A wali is generally the woman's biological father or a male blood relation who is related to the woman without any female link connecting them - such as her grandfather, brother, paternal uncle, paternal cousin etc. The closest relation is given precedence. A full brother is often given precedence over a half brother, and the same extends to uncles and nephews etc. Females and maternal ...
Who can be wali, and in what order? - Islam Stack Exchange
The prophet said marriage without a wali is a falsehood in the hadith, however we lack the context and don't know if this is for everyone. In the Quran, if you read Surah Baqarah, it translates to "when she Marries" with a verb indicating a woman Marries on her own and not performed by the wali.
nikah - Can i marry without a wali? - Islam Stack Exchange
The wali of a Muslim woman must always be a Muslim. A non-Muslim can never be the wali of a Muslim woman. وأجمعوا أن الكافر لا يكون وليا لابنته المسلمة There is consensus that a disbeliever cannot be a guardian of his Muslim daughter — Al-Ijma' - Ibn Mundhir If the woman's father is a non-Muslim but she has some other Muslim relative then he can become ...
But other Ahadith make clear that a divorced woman has more rights then her wali, while a virgin has less rights then her wali in choosing a husband or agreeing for marriage. About Wali and Wakil as far as i understand the wakil is someone who represents the wali, who's acting in his name as an authorized representative! And Allah knows best!