I got #metoo'd at work. (Never be friendly to a female at work)

While I don't want to pile on and just shit on you for the sake of shitting on you, I want to make it clear that this is completely and totally your fault. The consequences of your actions aren't all that terrible at the moment, and you're lucky in that regard. Overall, it's a very teachable moment for you, and you seem like you're in a period of transition and self-improvement, so take it on as a part of that and learn the lessons that it has to offer.

With that having been said, I'm going to offer some commentary on various things you've said in your post here and go from there. I can tell that you don't know any better, and I can tell that you're trying to learn, so I'm going to try to offer some feedback that can help you, even if it may come across as a bit harsh.

In the 3 days of training I was attempting to build a work relationship as she would be working directly with me. I was learning about her life, hobbies, passions, and sharing about mine.

From the perspective of mindset, this was your initial mistake. You should not be looking to have "work relationships" with women at your job.

During this time I didn't feel as if any of our conversations were rude, harassing, or sexual.

Your sense of professionalism is off, and you're a walking liability because of it. You need to get your head out of your ass and stop with this idea that your job is social hour to mix it up with young women.

And for what it's worth, this is the core idea behind the concept that you shouldn't shit where you eat.

asking if she was single

I've looked through your post history, and you need to understand that your SMV is a key part of the issue here. For example, you're talking about only being able to pull fat 3s on dating apps not very long ago and how you've only recently started getting your shit together.

I'm not shitting on you for having a low SMV. What I'm getting at is that the rules are different for low-SMV men. As soon as you start asking her shit like if she's single, the alarm bells are going to go off, and she will be (for better or worse) creeped out.

choose to train in a meeting room and closing the door instead of training at her desk

This is a tremendously, over-the-top, horrendous blunder to such a degree that I can't see how you could possibly have made it to a position of being in charge of other people in any company anywhere.

Do not set up meetings where you're alone with a woman with the door closed. I can't believe this has to be said, and I can't imagine what would have went through your head to make you think that this was a good idea.

asking her what she's doing during the weekend

This extends the above theme of creeping her out. Whether it's right or wrong, whether you agree or disagree, whether anyone thinks things should be different, you were creeping her out tremendously, and I can see why. You need to stay in your lane at work, particularly if you have a low SMV.

making reference to a friend's bad tattoo on her hip

I don't even know what to say about this. What possessed you to bring that up or think that it was appropriate for work, let alone with a younger woman who you were working with regularly?

My reputation is screwed, I went to my boss and he understands my side of the story and hr agrees that she may have been over sensitive and that I didn't intend to do this.

You need to understand that they're just telling you these things to get you to shut up and go on about your business and leave them alone. There's about a 95 percent chance that they both also think you were being creepy. You're no longer allowed to talk to her because, to them and to the company, you're a walking lawsuit waiting to happen.

Note that even though you "didn't intend to do this," you also didn't intend to cover your ass and keep a sense of professionalism at work, which is one of your two main problems here (the second being your low SMV).

I want to point out that, if you had a higher SMV, I still would have recommended against this low of a level of professionalism that you've described having here.

I have learned a HUGE lesson to NEVER be friends with females at work. NEVER expect people to be friendly and to never talk about anything other than business with a female.

If you want to play the game, then you should learn to be good at the game. As an example, you shouldn't call them "females" here. That's particularly politically incorrect.

Mind you that they are females and that "females" as a noun is not demeaning in the least bit, but they don't know that and will take offense because that's what they've been trained to do.

Hear my warning gents. I am not a douche, I am very well respected in the workplace and didn't think this would ever happen to me! Be careful out there.

If you were a douche, then there would have been less of a chance for her to go to HR. Not being a douche is not a virtue. Nobody gives a shit how well-respected you are. Your lack of SMV and professionalism means that you're pretty worthless in the grand scheme of things to that company. Luckily, both of those can be fixed with some effort, and you seem like you're motivated to do something about it.

Best of luck.