No Groozle this plotted course will not kill you. You have to be in the sun and in I mean inside the square that the sun is in to kill you. If you are a square away it will not, think of how big these squares represent.
The red marks would need to be centered on the sun and you will get a warning about your destination. A path going near a sun will always move you around it unless you select the sun itself.
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Ask not what the Combine can do for you, ask what you can do for the Combine.