Small Bunny Tailes

Bought myself a small tree, a salix caprea kilmarnock. Long branches with small, soft bunny tails. Unfortunately they didn't last very long, vent away the day after I bought it and when I came back three days later they looked like small dusters. Now the dusters are falling of, leaving a lot of pollen on my window sill and small fuzzy leaves pops up where there once were small, soft bunny tails.
Thank God I'm not allergic.