I have never met a woman, religious or not, who didn't look for an assertive, confident man. It's a trait all women find attractive. The man can be shomer shabat and humble too, but that's besides the point.
there are some very very righteous women that really don't prioritise that, if they even look for it at all.
they hear , he's a torah scholar, he's nice, he's shomer mitzvot. They say baruch hashem. They are not going to say "oh, but he's not confident/assertive". But they'll reject somebody if they don't meet the other criteria e.g. not scholarly, not shomer mitzvot, and of course, not nice. If he meets the stated criteria though, they are so happy. They won't reject that because he lacks confidence.
I know, most girls do look or assertiveness and confidence, and as a priority. But there are these religious girls, they are of a different mold.
one of my religious female cousins has lovely little things all over her room to keep reminding her of G-d. It's so unlike regular girls, it's like the difference between an innocent angel and a pile of dung.
These girls are so sensitive to G-d, so sensitive to others, so religious, so full of thought of G-d, so innocent, but intelligent too. They are incomparable to girls you find in non-jewish or modern orthodox schools. Personally, I don't know how guys think they are worthy of girls like that, it's crazy.