How do I make good contact with a heavily hooded clitoris?

Hey all. So without going into details I’ve only really given oral to one woman, for a long time. She had a very smooth vagina, no “extra” labial skin at all. This meant that I could easily feel, stimulate and tease her clitoris, even before arousal. I could lightly touch it, tease it etc.

I’ve now been with a different woman who has a large hood over the clitoris which makes it very difficult for me to make direct contact. Once she’s aroused I can feel it if I run my tongue up a very specific way but too much movement and I lose it again.

I get that I should ask her what she likes, and I will, but I wanted to also ask a larger audience, is there maybe a method I’m missing for getting and maintaining contact? Should i not be focused as much on making direct contact because the hood is sensitive enough as it is?

Outside of her specific answers, what knowledge can I get from you guys on how to give better head to this “style”?

Thank you all.