Snake's taught her how to shield herself psychically (and will have mentioned Emma to her, so Clover will recognize her by description if nothing else). She's not very good at maintaining the concentration the shields need, though, so while she could put up a token resistance, Emma could take her shields apart.

Anything to do with controlling her, wiping her memories, etc. I'd rather be asked about before it's done-- I don't mind leaving the option there in case good plot opportunity comes up for it later.

Emma can probably find Clover easily enough, but if Clover becomes aware Emma has this power, she'll do whatever she can to avoid being found in the future.

Clover wears her heart on her sleeve, surface thoughts are pretty accessible at any time. Anything deeper than that is surprisingly well-guarded, though.