My girlfriend is upset because I hesitated to have sex with her

I'm 36M and have been together with my 32F girlfriend for 3 months. This is my first relationship after losing my wife 5 years ago so I admit I took some time to get used to dating, especially since I hadn't been with anyone new since like 2010 when I started dating my wife.
We have had sex a couple of times and during those times, we've both been either sober or had a couple of drinks, nothing more. It's of course always been consensual.
Last night, we went to a friend's party where my girlfriend got super drunk, like she must have had about 8 drinks. I wasn't drinking that night and dropped her back to her place. Once in, she wanted to have sex. I did want to make sure she was okay with it, so asked her. She said yes of course. I asked again because I knew she was drunk and had had a very long day.
She then got super upset with me and started crying and yelling asking if I was stupid or didn't find her attractive. I said that's not the case and I just wanted to make sure she's really on board with it. She didn't believe me and made me leave, like literally kicked me out the door.
I called her this morning and she said that she was really offended last night. She said I made her feel like **** and if she says she wants it, she always means it. She then said she needs some time apart to think through things and how I made her feel.
Was I wrong for doing what I did, and how do I make it better?
TL;DR: Double checked that my drunk girlfriend really wanted to have sex. She felt offended and kicked me out as a result


Source.

Well you should have at least took things easy with her , she will be the one wanting you, women doesn’t like men that’s always in a rush to have sec with them coz the believe he his just a player who just want nothing but sex , so now you need to calm her down and make her understand that you’re not for sex just trying to feel her coz you really love her and wanted to show her that way , hope I’m not saying to much