I only have hot water going into the machine on all the settings.

You need to verify that the cold water is actually flowing through the cold/hot water shut off valve at the wall/floor first. If you are getting water flow at the supply side of the house, it is likely that the washing machine has a defective water inlet valve.

It is possible that it is a very simple problem to fix, such as a wiring plug not connected to the cold water inlet valve (solinoid), but since this is a new machine, you should have the issue handled with the warranty service. If this was a used machine you purchased, then by all means do some investigation to see if you can locate the issue.

Start with the basics by making sure the water is actually getting through the house supply valve and through the washer hoses. By the way, you should change supply hoses whenever you get a new machine, since a broken hose can easily cause extensive damage should it fail. Most manufacturers are now recommending that owners replace their washer supply hoses every 5 years.

OK, if the water is flowing throught the valve and hose, and when you reconnect the hose to the washer and turn it on and you aren't getting any water into the machine, if you hear a humming sound, then the valve is likely getting power but could be defective or has failed. There is no "flap" only a solinoid that cycles a piston back and forth to either let let water flow into the machine or shut the water supply off. Other than that, there shouldn't be anything else preventing the water from getting into the tub.

I had the same problem with the cold water not coming through. I took the cold hose off, pointed it out the window, turned on the cold faucet and it had great pressure. So, I took the filter out of the fitting in the back of the washer and checked it. It looked just fine. I then took a flashlight and looked into the opening of the cold water fitting and I could see the opening in the back was closed for the exception of about a 1/4" (I assumed the was valve stuck) So like all Southern Ladies, if it doesn't move and it should...grabbed the WD-40. I unplugged the washer and then I sprayed a small amount into the fitting, took a small knife and tried to move the valve open. It didn't appear to be moving but decided to put everything back together and wha-lah...we have running hot and COLD water.....next is a duct tape fix...now where did I put my silver cure-all????