The Code:

                       
                        // get the user input
                        function getString() {
                            document.getElementById("alert").classList.add("invisible");
                            //I had to use a variable per line which I'm not sure is correct but it wouldn't work without it.
                            //So uStr takes the user entered string.
                            
                            let uStr = document.getElementById("userString").value;
                        
                            //Then I convert it to lower case and make it lowStr
                            let lowStr = uStr.toLowerCase();
                        
                            //Then finally I pump it back into userString like I had intended and strip the spaces and special characters. 
                            let userString = lowStr.replace(/[^a-zA-Z0-9]/g, '');
                        
                            //Here I call the reverse string function and use it on userString.
                            let revString = reverseString(userString);
                            
                            //And here I use the displayString to display the now reversed string.
                            displayString(revString);
                            //Reverse it
                            function reverseString() {
                                let revString = [];
                                for (let index = userString.length - 1 ; index >= 0 ; index--) {
                                    revString += userString[index];
                                    
                                }
                                return revString
                            }
                            //compare the two
                            // display it
                            function displayString() {
                                //Is it a palindrome?
                                if (revString == userString) {
                                    document.getElementById("head-msg").innerHTML = `Well done! You entered a palindrome!`;
                                }
                                //If it isn't then...
                                else if (revString != userString) {
                                    document.getElementById("head-msg").innerHTML = `Your entered string is not a palindrome.`
                                }
                                //Pump the result into the p tag.
                                document.getElementById("msg").innerHTML = `Reversed string is: ${revString}`;
                                //Turn the alert box back on
                                document.getElementById("alert").classList.remove("invisible");
                            }
                        
                        
                            
                        }
                        
                        
                        

                       
                   

The code is structured in one function.

Palindrome

My original comments are left in but basically I get a string, make it lower case if it isn't, then strip any special characters if there are any. After that I reverse that string using a backwards counting loop based on the length of the entered string. Then I compare the string to the original entered one, if they match I display a message and if they don't I display a different message along with the entered string.