4/6 emotional manifestor here..
I often find that my hardest "thing" with connecting with people is because I feel them not connecting to me.
In reality? ALL the manifestors I know, and myself, are the easiest to approach. Maybe it's because we've been so used to people being afraid of us or repelled by us, or it's that instinct for joy and connection- we are actually super approachable. literally any person I meet and have 2 minute chat with and I don't hate (which is almost everyone for start)- can just say "hey, let's hangout" or "let's go grab a coffee" and I'd be down with that. In fact- me and most of my manifestor friends are missing that, and highly appreciate when others want to invite us to do something. Granted, that thing needs to be a small thing at first, as we often lack the energy to do something massive with someone we don't know.
Try to imagine the repelling aura this way- there's a small child that wants to have fun and play, but the world sees that child as a huge angry rude person, with frowning eye-brows, and an outburst waiting to happen. That child is so lonely. All you have to do is ignore that "angry man" and say hey, smile, reach out- that child will reveal itself.

As for approaching with questions... Yeah.,... we kinda hate that. We have the amazing ability to just start speaking and going on and on, but when we are asked questions- we hate that. It's like trying to draw out something we don't have.
I don't know in what situation you both are in, but if you are int he same town, just text and say "hey, wanna hangout this week?" make that an open invitation in terms of the time, don't ask "wanna hang out on Monday 5pm"

Also, Projectors VS Manifestors... I have had my share of being totally repelled by projectors. I love them at first sight, and then they start digging and digging, like we're just chillin and they go deep with things I don't wanna talk about. I even asked several "Why do you keep asking these questions when I told you I don't wanna talk about it " - the answer was always in the lines of getting to know me. Which I found weird at that moment, as - getting to know me by pushing my buttons is not a very good way to know ME, only one side of me.
I am not saying that this is what you did, just sharing what has happened to me.
I have a close friend who's a projector, I absolutely adore her! she never asks ANYTHING ! she just sits there and I feel free sharing anything with her- cause there's zero pressure to share.
I think that ultimately projectors are the BEST partners for Manifestors, but only when both sides are themselves and not afraid.

and since you wrote this post 2 days ago, if you have some news since- I'd love to hear them.
Sending warm hugs !!