For the "Play with Fire" achievement/trophy, you'll need to "cross the Sanctuary of Flame before it is completely engulfed in flame and stay alive." So, if you've just done "Rocket Woman" you'll need to reload your earlier save, re-enter the level and watch the cutscene (shown above), quick-save as soon as it finishes, then make a run for the other side without falling into the pool of oil or being engulfed in the rolling wall of flame that follows Lara and ignites the pool in its wake.
NOTE: If you've quick-saved after the cutscene, you can wait near the entrance and watch as the molten metal trickles down to the pool and ignites the the oil, creating a wall of flame, which then sweeps across the pool. You'll then need to reload and run ahead of these flames in order to unlock the achievement/trophy.
Here's one possible path. The birds-eye view screenshot above outlines the route. The ones below go step by step.
As soon as the cutscene finishes, run straight forward and jump at the edge...
...to clear the two concealed holes directly ahead among the stepped blocks.
- OR -
If Lara is consistently taking damage from billowing fire here, instead, run down the steps just to the right of center...
...to avoid the holes.
At the bottom, run out to the end of the central cluster of hexagonal blocks. Without stopping, steer slightly left at the end...
...and jump over to the left side of the next cluster of blocks.
Still without stopping, run along the two left blocks (don't worry about the flames) and jump to the next set.
I've seen a few players just continue running and jump onto the single block near the stairs (i.e., directly ahead of Lara's position in the screenshot above). I found easier to pause here just briefly...
...then run onto the far right block in this cluster, turn sharply, and jump across the gap onto the block nearest the stairs. When Lara lands there, stop.
Then take a standing jump across the final gap onto the stairs.
As you approach the alcove with the FIRE CRYSTAL (1), the achievement/trophy should unlock.
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