Does complaining to a prince, king, or wealthy person and asking them for money constitute Shirk (associating partners with God)? And is seeking treatment from a doctor considered Shirk?

Seeking help from other than Allah in matters that none but Allah can do is polytheism (shirk). However, seeking help from other than Allah in matters that one is capable of is permissible, such as asking a ruler or king for money, and this is not shirk. Nevertheless, the fundamental principle regarding this matter is dispraise, and it is prohibited unless there is a legitimate religious justification, such as extreme poverty, overwhelming debt, or a calamity. Scholars have differed on the permissibility of begging for those capable of earning a living, with the majority opinion being that it is forbidden except in cases of necessity. As for visiting a doctor for treatment with the belief that healing comes from Allah, Islamic law encourages and commands it, and this does not contradict reliance on Allah.