Wecome to HCM
you are having loss of appetite along with feeling of nausea ,if this is going on for few monts you should point iou is there any significant weight loss
or not. If there is weightloss then we must rule out any systemic disease ,if not then do you have any liver problem like Jaundice
or are you suffering indigestion
and acidity problem?
Some time this all could be Psychosomatic that having some kind of anxiety or depression
You should consult a Physician and if required go for proper investigations and if any significant disease is there it may be treated if not some Mood elevator may be used .
In the mean time take light diet lot of water and regular walking like exercises.
Have no idea about homeopathy
Good Luck to you.