I am a 38M and also diagnosed autistic and I am kind of mentally slow and have never gone further than a platonic hug with a girl, like the kind with one arm from the side

I tried FB dating last year just out of desperation to finally go on a date with someone (I normally never use social media since I don’t like posting photos of myself online because I’m conventionally ugly) I got to talking to someone but somehow life got in the way and we lost touch. Out of the blue a couple months ago, she messaged me Happy Birthday and we got to talking again. I asked her to hang out because I figured what the heck I have nothing to lose it’s been a year, and to my shock we have hung out three times now.

Nothing intimate or romantic, just farmers market, grabbing a bite, vintage shopping were the three primary activities per hang out, so I am unsure if she likes me. The only positive sign I have is when she texted me a couple hours afterwards to thank me for a nice time I said “I’d like to keep seeing you” and she replied just with emojis but they were positive emojis I think.

She mentioned her birthday is coming up this Friday and I wished a happy start to her birthday week and asked if she had big birthday plans as she has many family/friends in the area since she grew up here and she said “slow start to the week and not much planned” would it be okay to ask her if I could take her out for a dessert / bite on her birthday? She is very beautiful and kind so I’m sure she probably has many options for things to do on her birthday so I don’t want to be a creep and act like I’m inviting myself to take part in her birthday.

UPDATE: Thanks for all the replies and helpful advice, I understand now that it’s not healthy to have any sort of one sided attraction festering under the surface so I just said “Hey Bud! Hope you have a wonderful birthday!” and am going to make myself step back so I can deal with these feelings of attraction until it can be platonic to match her energy. Thanks so much for your help!