It appears to be a damaged bronze strike; the diameter and weight make it a "table medal" (basically a medallic paperweight) in my opinion.
Gold and silver medals were struck for dignitaries and honorees, and often lower quality pewter and bronze copies were struck and given out or sold as souvenirs, often concurrent with but sometimes well after the date of the actual event (there was a big run of these type of restrikes in the 1870s and 1880s for medals that were originally issued 50-70 years prior.)
A recent example in bronze with (slightly less) damage was listed on
ebay for $90, see
202073384052The engraver is Loos who was a well-known medallist and engraver at the time in Germany.
The German text on the reverse reads approximately:
A worthy festival and well-deserved/his 50th anniversary celebration/by his admirers and friends/the 16th of January 1833.
The obverse legend:
I.G.C. ADLER DR. D. THEOL. GEN. SUPERINT. IN SCHLESW. U. HOLST. GROSSKR. V. DBRG. U. D. M.
in English: Jakob Georg Christian Adler, Doctor of Divinity and Theology, General Superintendent (Head Chaplain) in Schleswig-Holstein-Gottorp, Grand Cross of the Order of Dannebrog and "Dannebrog Man"
The bust shows Dr Adler with the aforementioned Grand Cross as well as two other medals on his coat. You can search for Dannebrogorden to find out more about the organization.
Member
ANA - EAC - TNA - SSDC - CCT #890
"Most of the things worth doing in the world had been declared impossible before they were done." -- Louis D. Brandeis