Yeah, sometimes dogs can sense that 'a trap' is being set for them, unintentional as it may be. It's sort of a survival mechanism, and it's natural for them to be leery of those types of situations. Using luring techniques may or may not help with getting the dog to overcome their suspicions. Unfortunately, luring can occasionally amplify those suspicions.Most websites also say that I should never force her in a crate, but instead lure her in. But luring her does not work. I've put in toys, food, treats, etc. These are things that she enjoys outside the crate but honestly she seems to know that it is a crate and that I will shut the door.
For dogs that apparently have a hard time getting over that hump, there is an alternative technique that can be used: shaping. It's often a longer, slightly slower, probably more difficult technique to teach to the dog. Especially for a first-time owner who has little or no experience with 'mark and reward' or 'clicker' training. But it's still very effective, generally speaking.
I would suggest you research shaping and consider whether it is a viable solution. There's lots of information and instructional videos on the web. I would also suggest, being a first-time owner, that you consider the assistance of a force-free trainer to help and guide you through the mechanics of crate training a puppy via this method. A couple of one-on-one sessions would likely suffice.