How to keep some text upright when rotating the whole tikzpicture by rotating package

Question

I would rotate the whole tikzpicture by a particular angle. I use the package rotating for this purpose as mentioned in https://tex.stackexchange.com/a/199471/. But the Problem is that I would like to keep the inserted text upright. For example in the below image, the symbol "u" has been skewed. There is a related question in How to rotate the position of a node but not the text inside it but it does not use the 'rotating` package. The motivation is that when drawing a picture it is easier to draw the picture upright, then rotating it because the computation is easier.

To be precise, I would like that the node together with the text to be rotated but the text appear to be upright.

\documentclass{article}
\usepackage{tikz}
\usepackage{rotating}

\begin{document}
 \begin{turn}{-37}
\begin{center}
\begin{tikzpicture}[scale=1]
\draw [->] (3.5, 1.5)-- (4.25, 3.75); 
\node at (4.45, 3.75) {$u$}; 
\end{tikzpicture}
\end{center}
\end{turn}

\end{document} 

Answer 1

The answer to the question in the headline is easy: No, this is not possible, for the simple reason that the commands in the rotate package by design rotate everything within their scope.

But you don't need an extra package. The tikzpicture environment has the option rotate, which will rotate everything except for the labels.

\documentclass{article}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=1,rotate=0]
\draw [->] (3.5, 1.5)-- (4.25, 3.75); 
\node at (4.45, 3.75) {$u$}; 
\end{tikzpicture}
\begin{tikzpicture}[scale=1,rotate=-37]
\draw [->] (3.5, 1.5)-- (4.25, 3.75); 
\node at (4.45, 3.75) {$u$}; 
\end{tikzpicture}
\begin{tikzpicture}[scale=1,rotate=30]
\draw [->] (3.5, 1.5)-- (4.25, 3.75); 
\node at (4.45, 3.75) {$u$}; 
\end{tikzpicture}
\end{document}