Core idea
A tree is for hierarchy. A BST is for ordered data where left is smaller and right is larger.
In interviews, first say what structure fits the shape of the data. Then say the cost for search, insert, delete, and traversal.
When trees fit
Use trees for folders, comments and replies, organisation charts, DOM-like UI, tournament brackets, and decision paths.
A binary tree node has up to two children. A general tree can have many children. A BST is a binary tree with an ordering rule.