This does not look like malware but "only" like phishing: the attacker tries to steal login credentials from you by claiming that these are needed to proceed. These kind of attacks are very common and try to phish credentials to login to various web mail accounts or whatever the gullible victim is willing to enter in order to continue. I've got a lot of these mails myself.
Thus, while there might be also some malware inside the mail it is unlikely that you got infected since you only clicked on a HTML page attached to the mail (that's what I assume from your description) and you did this on Linux. While HTML attachments are also used to deliver malware this is usually done by embedding Javascript which downloads the malware from inside the page or rarely which embeds the malware directly. But these scripts then relies on Windows specific functionality (windows scripting host) to execute the malware and this does not usually work on Linux. It might maybe work if you are using Wine though to execute Windows programs in Linux but you probably need to have some really strange setup which makes HTML pages open with a Windows based browser instead of the Linux native one.
Of course, there might still be some attack going on which uses some previously only bugs and specifically targets Linux to delivers the payload. But unless you are a high-value target it is unlikely that such precious exploits are wasted on you, given that getting or creating this kind of yet unknown exploits is hard and can cost a lot of money.
To summarize: you are likely not infected. But maybe be more careful in the future anyway.