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Everyone always says stuff like "oh Jason was touch starved" or "Nico's touch starved" but I give u this take:
Reyna is touch starved.
She's the leader of a Roman camp, so she probably isn't overly close to anyone and she probably has no one she trusted enough to help her.
So Reyna probably refuses to let people hug her or touch her because she's scared of getting hurt, and the only person she trusts is her sister Hylla, and then it grew to include Nico because you know trauma bonding and all that
Even if she learns to trust people the only 2 persons she'll allow herself to fall asleep around are Hylla and Nico because she trusts them to protect her.
And she's definitely a clingy sleeper, so if she falls asleep around either of them, or either of them are there, she would cuddle them because she felt safe.
If she's sick she would definitely refuse to get help and just keep working herself to death until her sister came and just. Kinda. Pulled her into a hug, and Rey would just melt against her because she's her sister and shit, and all the legionaires would be shocked as Reyna doesn't like people hugging her.