What is the ruling on being named "Eileen," is it an Arabic name, and what is the correct way to write it, with a kasra on the hamza or a fatha?

Naming with names that convey the meaning of softness is permissible, such as: Sahal, Suhayl, and Sahla. As for the word "Alin," it is not permissible to vocalize its hamza with a kasra in the Arabic language; rather, it must be vocalized with a fatha. This is because vocalizing the present tense prefix of a triliteral verb with a kasra is not permissible in this context, and vocalizing its hamza with a kasra is considered a linguistic error.