hit her with net
open her deliveries
sell her gifts
report her to isabelle
send her hate letters
insult her house
ignore her for long periods of time
if all does not work your only choice is time travel
For best chances you have to either ignore her after introducing yourself while she is in boxes, or talk to her a lot. Best friends and strangers have the EQUAL chance to ping to leave before others in between the two.
what i do is i skip forward day-by-day. Every 20ish days someone asks about moving out, but it's only the ones i've talked to. Ignoring them will get them to move out eventually though
If you don't have a town full of villagers you like you may let someone else go first and then pick up someone else. It usually encourages villagers who moved in last to leave.
There is nothing you can do but having a lot of patience and luck, because the villager asking to move out is set uo RANDOMLY. Just wait your chance...