this room turns into a sauna even though I've installed curtains
All the sunlight energy that passes through the windows will heat anything it lands on: walls, floor... and curtains. These objects then heat the air in the room. Thus curtains simply act as a radiator. They do nothing against heating from direct sunlight.
To prevent your room from turning into a sauna you have to block the sunlight from entering through the window and keep it outside. Sunlight is about 50% infrared and 50% visible light.
So you can use a reflective film, that will reflect most of the infrared and a proportion of visible light too.
Pros: easy to install, works no matter what the sunlight direction is, see-through.
Cons: can't be turned off, so it will also keep your room cooler in the winter. You won't get free heating from the sun, you'll get less light, and you'll lose that warm cozy feeling of basking in front of the window in winter. So it's not an optimum solution.
The other solution is an awning like Robin suggested, or blinds/louvres, but they must be outside. Otherwise they'll turn into a radiator, just like the curtains.

Pros: adjustable, so you do not lose comfort in the winter. More effective than film in blocking sunlight.
Cons: you have to adjust them through the day. Obstructs view (but you can roll them up to hide them).
On a south facing window, this is ideal. I use an awning made of steel pipe with vine growing on it. In the summer, I get shade, and in the winter, the leaves fall off so I get sunlight.
On a west facing window, it is less than ideal because in the evening, sunlight comes in almost horizontal... then if you want to block it you have to close the blinds almost completely. An awning wouldn't work well on the western window, because a large part of the window won't be in the shadow unless the awning is much wider and reaches much lower than practical.
Other options
In France these are popular, we call them "roll curtains":

However, IMO they suck. That's because a window performs many different functions: look outside, let in light, ventilation, let in or block heat/cold, block intruders, etc. And with a rolling curtain, either it's down and you're in the dark with no view and no ventilation (but not thieves either), or you roll it up and it does nothing. But if you want to leave the window open at night in the summer to let in the cool breeze, then you have to roll it up, so there's no security. Plus they're ugly and when closed the space between the shutter and the window gets extremely hot when the sun hits it, so not very effective against heat either.
Louvred shutters look better and are much more effective. They provide ventilation when closed, provide some security, and you can open one or the other, or leave them ajar, to block direct sun depending on the direction it's coming from.
