Won't start when cold

My first thought you say when it is hot outside it will not even crank or do anything. I assume you do nothing and it will crank when it is cold. Well if that is the case I am thinking it may be a loose connection. Metal will expand in heat and contract in cold. My crazy thought is a connection is tight in cold and loose in heat. In heat try moving the battery, ground, solenoid connections if loose tighten them up.
If the car does try to crank
IAT sensor may have something to do with it(intake air temperature) link below
https://www.youtube.com/watch?v=NVIRlpTj-Gk

If check engine light is on have codes checked. Most auto part store where I live will check codes for free.

Relay, on top of fuel tank under parcel shelf, check its getting power, if not its fuse, if it is, bin it get a new one.

Are you saying the engine cranks but won't start, or the engine won't crank ?
If the engine does not crank, you would check for voltage at the starter, the neutral safety switch, and the key switch as well as the ground connections.

If it cranks but won't start, you'll have to figureout if it is a fuel or ignition problem.Have you checked the computer for trouble codes ?

Does it crank, yet not start? Or does it not even crank?
If it cranks and doesn't start, you could have a leaky fuel injector. Pull the plugs when this happens, and check them for fuel saturation.

If it doesn't even crank, it could be an intermittent starter.

use a scan too, to reset the ECM

well in this case it can be the starter. you need to check if you get power to the skinny wire on the starter wile you crank. if yes then it is the starter. in worst case if you drove the car with out oil or if it got over heat too much. engine could be locked.

When a battery is very low, even a jump won't work because the battery takes too much out of the jump. Take the battery out and have it charged up.
If it won't take a charge, get a new one.
But also make sure the battery terminals and cable ends are shiny and greased.

If you really want to be sure, put a voltmeter on it.
A good battery should be 12.5.
When you crank it should go down to about 10.
If it goes below 9, either the battery is too low, or the starter is draining too much.
If it never goes below 11, it is not draining enough, and the solenoid is probably bad.
If when you stop cranking, it comes back up to over 11, then the battery is good, so the starter is probably bad.

If the switch (neutral safety switch) is broken, it will not crank regardless whether you jump the battery or a new battery is installed. I don't have specific manual for your year that's why my advice is as in general. With a remote starter tool, bypassing the solenoid wire with remote starter which is connected to the positive terminal of the battery of it's other end. Once positive current flows from the battery, through the remote switch, flowing towards the solenoid, the starter should engage indicating a bad wiring harness connection from ignition switch. If it doesn't crank at all you may have a bad starter assembly and needs replacing. If your starter is clicking using it's own battery power, your battery is low of charge or your charging system is malfunctioning.

Pls, rate this suggestion, thank you.

CHECK BATTERY WITH A LOAD TESTER,CHECK CABLE CONNECTIONS,AN STARTER . TRY JUMPING WITH A BOOSTER PAK THAT SHOULD START IT IF NOT REPLACE STARTER.