These are roots: they have somewhat-pointed, green growing tips, and the older portions are covered in velamen, the spongy water-retentive root layer that looks silvery/white when dry and greens-up when wet. Flower spikes will look different because they will be solid green their entire length (no velamen) and will emerge with more of a "mitten" shape (that is, rounded and not pointed) when appearing under or between foliage. Roots usually grow outwards or downward and flower spikes upwards, but this isn't as reliable a distinction since either can really grow in any direction based on lighting, the position of the plant, and other factors.

Although this can vary a bit from one variety to another, Phalaenopsis orchids tend to spike (begin to produce bloom stalks with buds) once overnight temperatures dip about 15-20 degrees or so below daytime highs. Windowsill growing helps with this since it's a little draftier compared to the center of the home, but it's usually autumn before the plants receive enough gentle overnight chilling like that for a few weeks that will help to trigger a bloom cycle and production of a flower spike. Shortening natural daylength may also help as the sun sets earlier, but it's primarily the drop in temperatures that helps to kick-in flowering. Therefore, it might be a couple more months until the plant has received enough environmental cues to start the flowering process.

Miri

Miri,

You're welcome, and the plant looks good!

Miri