2009 honda civic is struggling to start when its cold

that would be the blender door accuator , some cars use the body control moudel to run it.

Underhood fuse box

did you look at it?
lots of Civic, bodies an body options, world over.. so....
you look
all cars, its not removable.
its got screws.
its got rivets (drill them out)
or has a plastic funky crappy hinges, that is not repairable.
on the last, ive added piano hinges. to fix them. with new screws added.
look , see , and find what you got.
if all that is confusing get, real help (live body)
or post a photo
or look on line at honda, ever do that see the blow up drawings off all parts on the car.? see console see if lid comes off at all?
no i bet.
like here
http://estore.honda.com/honda/parts/select-your-honda.asp?year=2009&dl=#
3 civic base , is your car a hybrid?// surely i dont know.
see 36 civics. just one year,!!
only you can click the right civic body (if in usa. )
at random i pick LX -S5 4door Civic non hybrid.
and get.
i see the drawing, i see part 31, whole deal
i see lid with hinge and screws. just this car.
you too can look and see whats there.
for your exact car, any time.
if it shows parts coming off, they do.

Have the chargeing system check out on it, It is probally a problem with the starter ,They donot last for ever ,No matter where you live, End i live in Regina ,Sask. For over 40 years, Moisture has nothing to do with it,

Put the stock parts back on, dont waste your time and money.

You could have a defective pressure sensor causing this.
One more thing, some have a sensor in the spare tire.
Did you check that?

Honda reccomends timing belt change at 100k. Most Honda dealers like you to change the belt at 90,000 miles (90k). some auto repair places will want to change the belt at 60k but that is not necessary (Note: if in a severe cold or hot climate like florida or canada you would change the belt before 90k or if the belt is over 7 years old.. Good luck:

I’m happy to help further over the phone at https://www.6ya.com/expert/gregory_8e6ba270263743ac

where do you live? cold climate..because if you do and dont have a lot of cold cranking amps...like 600-900amp batteries it will make it harder to start.

Don't say where you live and what conditions are like-- I wouldn't  bother-- Honda's and other modern cars don't benefit from rustproofing. Not worth it. 

have you tried spraying some white lithium grease with little red nozzle attached obviously, in the key slot as far as you can get it in?