Jesus or Joshua (Y'shua)

Let us clarify why we don't use Jesus.

We know that Jesus is not a Jewish name.

In Acts 7 verse 45 we have the following in most King James Version bibles…

Acts 7:45 which our fathers, having received it in turn, also brought with Jesus (G2424) into the land possessed by the gentiles, whom YHWH drove out before the face of our fathers until the days of David,

This verse is speaking of Joshua the successor of Moses
who led the people of Israel into the Promised Land.

Strongs G2424 gives this definition:

ee-ay-sooce' Of Hebrew origin H3091; Jesus (that is, Jehoshua)

Strongs H3091 gives this definition:

yeh-ho-shoo'-ah, From H3068 and H3467;
Jehovah-saved; Jehoshua (that is, Joshua), the Jewish leader: - Jehoshua, Jehoshuah, Joshua.
Compare H1954, H3442.

The letter "J" is a recent invention and the sound was not used in Hebrew.
For this reason we use the "Y" sound which is similar to the sound of the Hebrew letter 'yod' instead.

Because there are many differing ideas on how the name can be pronounced.
We use the contracted version 'Y'shua'

In summary:

We use the contracted Hebrew version of his name rather than the Hellenized transliteration out of respect.