Off topic, but no. Please don't listen to Ersula, that's absolutely wrong. Spoilers He offered her to rule by her side, the offer is 100% related to a power play, not romantic. Confirmed by the actors.
She thinks Celeborn is either dead or missing, unknown at this point. The dude you're referencing is NOT supposed to be Aragorn's grandfather, like at all. Have you even been paying attention? He's supposedly an heir to a kingdom in the Southlands. Either way, he does NOT love her, and offered her a place by his side in a power play which she refused because she correctly guessed she would have been her first and most important slave, but a slave nonetheless.