Q.The Tips Of My Weeping Pussy Willow Tree Are All Turning Grey, Other Than That It Looks Healthy.
The pussy willow tree is grafted, about two and a half feet tall, and in a planter indoors. There are no spots on the leaves and no White dust on the trunk.

Certified GKH Gardening Expert
This looks like it could be related to overwatering and dry indoor air!
Though they can handle moist soils, it needs to be able to drain freely. If left stagnant, then it can lead to rot. Make sure that the container can allow all extra water out after watering, but do keep it watered well.
You may need to humidify the air if conditions are dry inside. Dry air can cause these symptoms, as well.
Here is an article for more information on the small tree:
https://www.gardeningknowhow.com/ornamental/shrubs/pussy-willow/weeping-pussy-willow-in-a-pot.htm