Is giving a ship away worth avoiding military confrontation

[ty55101 (OP)]

Currently in game I have a ship running away while a newly discovered race fires missiles at it. The missiles can't do anything because I have CIWS on the ship purely for this situation. The problem is it appears as though they will ram me before I am even able to get out of the system. I just came up with the idea of turning sensors and the transmitter off, but I don't know if they will still be able to detect me. I just saw the option to give the ship to another empire and I thought maybe that would be a better idea, because if my empire hates them for destroying a ship then things would not be good. So what do you think, is it worth it to sacrifice a ship so your empires have a better chance of working together?

Edit:I tried turning the sensor and transmitter off and the enemy can still see me.

[Herodotus4]

Slow down, lower shields and go off at a 90 degree angle to your current course. It should make you disappear from thermals.

[AL]

If he is concerned about getting rammed, presumably the ship is well within range of enemy actives so reducing passive emissions probably wont do too much here.

[ty55101 (OP)]

Slow down, lower shields and go off at a 90 degree angle to your current course. It should make you disappear from thermals.

I don't have shields. And honestly at this point it is really hope they don't run out of missiles before I get to the jump point (not likely) or just give them my ship now.

[Sheb]

If they're firing at your ship, they're  already hostile, I'm not sure sacrificing your ship will help (except they can't follow it to your home system).

[MarcAFK]

Give it to an ally, it's their problem now.