Options / Line wrapping in this buffer / Wrap at window edge to change it for the current buffer.
To change it on a permanent basis, you will need to search your initialization file(s) for
truncate-lines: somebody must be setting it to
t for Org mode buffers. You will need to change that setting to
nil. If it only happens on partial-width windows (as shown in your screenshots), you might want to look at
truncate-partial-width-windows as Jean Pierre points out in a comment. Setting both of these variables to nil (and making sure that nobody overrides those settings) will ensure that lines are wrapped always.
Here's the doc string for
truncate-lines is a variable defined in ‘C source code’.
Its value is nil
Automatically becomes permanently buffer-local when set.
Calls these functions when changed: (#)
This variable is safe as a file local variable if its value
satisfies the predicate ‘booleanp’.
You can customize this variable.
Probably introduced at or before Emacs version 1.7.
Non-nil means do not display continuation lines.
Instead, give each line of text just one screen line.
Note that this is overridden by the variable
‘truncate-partial-width-windows’ if that variable is non-nil
and this buffer is not full-frame width.
Minibuffers set this variable to nil.