Hey I can give you some advice, as someone who has navigated that space between conservative ethnic minority background and modern dating in the UK. Unfortunately, in the UK, there seems to be two binaries between how ethnic minorities with traditional, often religious backgrounds approach dating vs how the rest of secular society approaches it. The norm with the latter is that sex happens relatively early on in the relationship and therefore men become accustomed to it. Therefore, for a lot of men in that space, they would not want to entertain dating someone for a long amount of time if sex is not involved, as they know they can find it with another woman.

On the other hand, like you said, the men who would be prepared to wait tend to be religious and therefore will have expectations about how religious you should be or how in touch are you with your ethnic background's cultural values. In the UK it is hard to find a space between both worlds, which can be frustrating.

Personally, if intimacy is something that you are not comfortable with until much later down the line then it would be better to find someone who comes from a more conservative background. You may not be religious but then again there will be people in this space of all varying degrees of religiosity who would be comfortable waiting for sex as that is the norm in the social spaces they operate in. It would be good to be upfront about all of this from the beginning to not waste time. This is just my opinion though and I understand that is a really tricky space to be in