First off... Yep. Your first child was the very abnormal one. It's an extremely rare personality type. Most kids really DO earn the title terrible for either year 2 or year 3. It's head meets drywall/ tear jerking/ god grant me a burst of patience kind of year with GREAT parenting.
HOWEVER...
You've definitely got some sensory issues going on (which can present by themselves or be part of another disorder), and some transition issues going on, and some hyperfocus going on IN ADDITION to the normal "I love my child, I love my child" boundary pushing/ independence seeking/ normal milestone year of terrible2s (or terrible 3s).
Very FEW kids can throw a fit for an hour as their standard. ADHD kids can/do, so that's normal in my family (Requires TOTALLY different discipline than neurotypical children), and so can a couple of other disorders that have hyperfocus (gifted, aspies, etc.).
2 is young to diagnose ADHD (not impossible, but NONE of the older kid/ adult symptoms are looked for since they're age appropriate, instead what's not age appropriate is looked for, like hyperfocus, sensory issues, giftedness, etc)... BUT nearly every other disorder I can think of that MAY fit is diagnosable fairly easily at age 2
Am I saying your daughter has a disorder?
Nope.
But there are some red flags in what you've written. She may be completely neurotypical / average, or you may be looking at the early signs of ADHD or something similar.
Here's the irony: treating someone whose brain works differently than others the SAME often makes things much harder. KNOWING that you've got SPD or an ADHD kiddo or an Aspie gives you an entirely different tool box to work out of.
Which is a long lead up to getting an eval via a developmental Ped or developmental neurologist. It will save you a few years of head meets drywall if there is something going on and get you a different set if tools to work with.
(( JUST as a tool box example: the minute per year of age thing is useless with ADHD kids. They're still in full meltdown. Timeouts in our house often lasted 20/30/even 60 minutes in the first few months. And then they operate differently in addition to the time thing. ADHD kids hyperfocus, and when they're upset will hyperfocus on being upset and feeling wronged. NEVER associating what they did with the timeout, or later, punishment. So timeouts weren't punishments. They were s time to calm down and then focus on the following : what happened -without getting worked up over it-, why it happened, what could be done differently next time, and how do we put this time right.
In the case of the Sammie Situation
What happened = I threw a fit (NOT the Sammie being cut wrong, keep the focus on what they did that landed them in timeout)
Why it happened = I was mad/ hurt that the Sammie was cut the wrong way
What to do next time = ask for it to be cut a different way, ask if it can be fixed, etc. (I always require at LEAST 2 options IN ADDITION to), take a deep breath, count to 5, if I'm still upset take a timeout before throwing a fit.
How to put it right = apologize to daddy for throwing a fit and thank him for trying to do something nice for me.
With ADHD kids its all about solution based discipline, positive reinforcement, and emotional monitoring and regulation.
Neurotypical don't need this. They naturally associate, don't internalize, and learn from negative reinforcement. ))
AGAIN... IM NOT SAYING your toddler is ADHD. But I am, and my son is, so it's the disorder I'm most familiar with and can give examples from in how kids with these disorders are parented differently than neurotypical kids. :)