When should I not write the keyword 'inline' for a function/method in C++?
If the function is declared in the header and defined in the .cpp
file, you should not write the keyword.
When will the the compiler not know when to make a function/method 'inline'?
There is no such situation. The compiler cannot make a function inline. All it can do is to inline some or all calls to the function. It can't do so if it hasn't got the code of the function (in that case the linker needs to do it if it is able to do so).
Does it matter if an application is multithreaded when one writes 'inline' for a function/method?
No, that does not matter at all.