The 26-year-old undefeated Belarusian, who has a 19-0 record, was due to put his reputation on the line against Rhodes at the Ponds Forge Arena in Sheffield on Saturday, March 24.
However, he was left frustrated by the news that 35-year-old Rhodes will not be able to make the date in front of his home supporters having suffered a recurrence of an ongoing back injury.
Rabchenko will still come to the Steel City to participate in a non-title eight-rounder on the bill, but is looking to reschedule his showdown with Rhodes for the summer.
He told BoxRec News: "I have been told that Rhodes has a damaged back so what can I do about it? I just hope that at a later date he doesn't run away.
"If Rhodes pulls out for a second time then it will be because he knows that I will beat him. This time I forgive him, just about.
"For now I have to forget about this disappointment and make sure I impress the Sheffield fans. I plan on showing them that I would beat Rhodes even in his home city."