I would like to know if it is safe to put my wallet address in websites asking for it.
I am really excited to start my own Bitcoin journey.
It depends on what you mean by the word "safe".
If you are afraidthat your money will disappear from your wallet just because you put your address somewhere, don't worry. Your funds will be safe and no one will be able to stole your money as long as they don't have private keys/seeds.
Instead if you worry aobut your privacy, yes, it may be in danger. If you share your address and maybe another relavnt info about yourself (for example your email address or social media account) they can link your address to your identity and then check all your transactions.