I do audits to help sites determine the reasons for their traffic drops.  I'm not sure if it is ok to post a link to my audit information, so the best thing to do would be to contact me by private message and we can talk.

This is probably good news then.  It means that it is unlikely that an algorithm change is affecting your site.  I can't say for certain without having a detailed look at your site and your competitors but it's possible that other sites are just outperforming you. Your niche is a competitive one!

It's interesting that you noticed that forums, blogs and review sites are outranking you. Google has been making changes to reward sites that add significant value when someone is searching for a product and not just using standard product descriptions.  I didn't have a thorough look, but a quick search of text from your tear stains page shows me 29 other pages that are using the same description.  In order to rank better you may need to create more unique stuff.

It is challenging for stores to rank well these days!

However, there could be other factors, but that is my best guess.

EDIT:  I just went back and looked.  I didn't realize your whole site was about tear stains.  You do have additional information too.  Sorry...I don't know the reason for your rankings drop.  I wish I had more time to dig into this.

Can you pinpoint the day of your traffic drop?  Take a look at your organic search traffic.  Does it drop on the same day as a Panda update?

I've read that you can use Screaming Frog to identify orphan pages on your site, but I can't figure out how to do it.  Can anyone help?

I know that Xenu Link Sleuth works but I'm on a Mac so that's not an option for me.

Or are there other ways to identify orphan pages?

How old is this website?  When I look at your backlinks in OSE there is only one backlink.  In ahrefs (which is faster than OSE at picking up backlinks) there are more, but only 8 domains containing the word takı.

If you are worried that Penguin affected you for overusing a keyword as anchor text, I think this is unlikely.  Penguin last rolled out October 5.  It looks like these links were made since then otherwise OSE would have picked them up.  (But there is a possibility that OSE doesn't look at foreign language links?  I don't know...it's possible that they have existed for long enough for Penguin to be a factor.)  With that being said, ahrefs is only reporting 8 domains linking to you with this word.

If this is Penguin then your drop in rankings would have to have happened October 5 (or May 25 or Apr 24).  Otherwise, it's not Penguin.

The only other linking penalty that could get you would be a manual unnatural links warning in which case you would have a warning in WMT.

If this is a relatively new domain then it's possible that you had a honeymoon boost which placed you near the top and now you rank where the site deserves.  According to Google Translate, Taki means Jewelry.  To rank on the first page for a single keyphrase competitive term like that you'll need a lot more domain authority.

A quick look at your backlink profile shows that you've got a lot of followed footer links containing the anchor text "web design".  This type of tactic used to work at one time but no longer works and in some cases can get you penalized.

The best thing you can do is analyze your Analytics and see when you started to lose traffic for keyword phrases containing "web design".  There's a good chance it happened Apr 24, May 25 or Oct 5 which were Penguin dates.

It's also not a bad idea to check WMT for a manual unnatural links warning just in case.

If this is Penguin, then some people who have had Penguin issues because of footer links like this have been able to recover.  Recovery in general would involve having each of these sites nofollow the link (or potentially change it to something like your url, but this is debatable).

Then, when there is another Penguin refresh you should see some type of recovery.  BUT, if this type of link was your only type of link and you don't have much of a natural link profile then you may not rank after all.  You may need to start doing some things to earn natural links.

If you do have the footer links nofollowed/changed, you won't see any improvement until Google refreshes Penguin again which could be anywhere from today to months from now.