but you can wait and see or buy another tree.......I would go the later
secret with tress, buy one that is semi-small for 30-50 bucks and they will grow quickly-especially if you fertilize them in spring
you should see a lot of growth in the first year....I planted several trees recently including a plum, tangerine, lemon x3 (not sure why),
and nectarine and they have all taken off. Lime looks the same, not sure why.
PS buy them from Home Depot or Lowes and they will take them back after a year if they die, etc. As will Costco.